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Finding the Fourth Proportional to 10,725.60, 14,808.24 and 9,343.20

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Solution

The fourth proportional to 10,725.60, 14,808.24 and 9,343.20 is: 12,899.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,725.60 : 14,808.24 = 9,343.20 : x
  2. Step 2: Convert to fraction form
    10,725.60/14,808.24 = 9,343.20/x
  3. Step 3: Cross multiply
    10,725.60x = 14,808.24 × 9,343.20
  4. Step 4: Simplify right side
    10,725.60x = 138,356,347.97
  5. Step 5: Solve for x
    x = 138,356,347.97/10,725.60
  6. Step 6: Final answer
    x = 12,899.64

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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.