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Finding the Fourth Proportional to 19,642.20, 29,463.30 and 9,112.20

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Solution

The fourth proportional to 19,642.20, 29,463.30 and 9,112.20 is: 13,668.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,642.20 : 29,463.30 = 9,112.20 : x
  2. Step 2: Convert to fraction form
    19,642.20/29,463.30 = 9,112.20/x
  3. Step 3: Cross multiply
    19,642.20x = 29,463.30 × 9,112.20
  4. Step 4: Simplify right side
    19,642.20x = 268,475,482.26
  5. Step 5: Solve for x
    x = 268,475,482.26/19,642.20
  6. Step 6: Final answer
    x = 13,668.30

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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.