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Finding the Fourth Proportional to 19,987.20, 29,973.60 and 10,123.20

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Solution

The fourth proportional to 19,987.20, 29,973.60 and 10,123.20 is: 15,181.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,987.20 : 29,973.60 = 10,123.20 : x
  2. Step 2: Convert to fraction form
    19,987.20/29,973.60 = 10,123.20/x
  3. Step 3: Cross multiply
    19,987.20x = 29,973.60 × 10,123.20
  4. Step 4: Simplify right side
    19,987.20x = 303,428,747.52
  5. Step 5: Solve for x
    x = 303,428,747.52/19,987.20
  6. Step 6: Final answer
    x = 15,181.15

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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.