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Finding the Fourth Proportional to 9,807.60, 13,545.21 and 8,542.80

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Solution

The fourth proportional to 9,807.60, 13,545.21 and 8,542.80 is: 11,798.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.60 : 13,545.21 = 8,542.80 : x
  2. Step 2: Convert to fraction form
    9,807.60/13,545.21 = 8,542.80/x
  3. Step 3: Cross multiply
    9,807.60x = 13,545.21 × 8,542.80
  4. Step 4: Simplify right side
    9,807.60x = 115,714,019.99
  5. Step 5: Solve for x
    x = 115,714,019.99/9,807.60
  6. Step 6: Final answer
    x = 11,798.40

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.