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Finding the Fourth Proportional to 29,012, 40,036.80 and 15,764

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Solution

The fourth proportional to 29,012, 40,036.80 and 15,764 is: 21,754.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,012 : 40,036.80 = 15,764 : x
  2. Step 2: Convert to fraction form
    29,012/40,036.80 = 15,764/x
  3. Step 3: Cross multiply
    29,012x = 40,036.80 × 15,764
  4. Step 4: Simplify right side
    29,012x = 631,140,115.20
  5. Step 5: Solve for x
    x = 631,140,115.20/29,012
  6. Step 6: Final answer
    x = 21,754.45

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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.