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Finding the Fourth Proportional to 9,813.60, 14,657.99 and 8,430.93

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Solution

The fourth proportional to 9,813.60, 14,657.99 and 8,430.93 is: 12,592.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.60 : 14,657.99 = 8,430.93 : x
  2. Step 2: Convert to fraction form
    9,813.60/14,657.99 = 8,430.93/x
  3. Step 3: Cross multiply
    9,813.60x = 14,657.99 × 8,430.93
  4. Step 4: Simplify right side
    9,813.60x = 123,580,445.48
  5. Step 5: Solve for x
    x = 123,580,445.48/9,813.60
  6. Step 6: Final answer
    x = 12,592.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.