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Finding the Fourth Proportional to 10,798.33, 14,871.90 and 9,305.71

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Solution

The fourth proportional to 10,798.33, 14,871.90 and 9,305.71 is: 12,816.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,798.33 : 14,871.90 = 9,305.71 : x
  2. Step 2: Convert to fraction form
    10,798.33/14,871.90 = 9,305.71/x
  3. Step 3: Cross multiply
    10,798.33x = 14,871.90 × 9,305.71
  4. Step 4: Simplify right side
    10,798.33x = 138,393,588.55
  5. Step 5: Solve for x
    x = 138,393,588.55/10,798.33
  6. Step 6: Final answer
    x = 12,816.20

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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.