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Finding the Fourth Proportional to 15,744.40, 23,616.60 and 9,905.20

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Solution

The fourth proportional to 15,744.40, 23,616.60 and 9,905.20 is: 14,857.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,744.40 : 23,616.60 = 9,905.20 : x
  2. Step 2: Convert to fraction form
    15,744.40/23,616.60 = 9,905.20/x
  3. Step 3: Cross multiply
    15,744.40x = 23,616.60 × 9,905.20
  4. Step 4: Simplify right side
    15,744.40x = 233,927,146.32
  5. Step 5: Solve for x
    x = 233,927,146.32/15,744.40
  6. Step 6: Final answer
    x = 14,857.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.