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Finding the Fourth Proportional to 29,033, 40,065.86 and 15,785

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Solution

The fourth proportional to 29,033, 40,065.86 and 15,785 is: 21,783.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,033 : 40,065.86 = 15,785 : x
  2. Step 2: Convert to fraction form
    29,033/40,065.86 = 15,785/x
  3. Step 3: Cross multiply
    29,033x = 40,065.86 × 15,785
  4. Step 4: Simplify right side
    29,033x = 632,439,600.10
  5. Step 5: Solve for x
    x = 632,439,600.10/29,033
  6. Step 6: Final answer
    x = 21,783.47

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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.