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Finding the Fourth Proportional to 10,809.60, 14,918.40 and 9,772.80

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Solution

The fourth proportional to 10,809.60, 14,918.40 and 9,772.80 is: 13,487.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809.60 : 14,918.40 = 9,772.80 : x
  2. Step 2: Convert to fraction form
    10,809.60/14,918.40 = 9,772.80/x
  3. Step 3: Cross multiply
    10,809.60x = 14,918.40 × 9,772.80
  4. Step 4: Simplify right side
    10,809.60x = 145,794,539.52
  5. Step 5: Solve for x
    x = 145,794,539.52/10,809.60
  6. Step 6: Final answer
    x = 13,487.51

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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.