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Finding the Fourth Proportional to 42,284.28, 58,350 and 23,421

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Solution

The fourth proportional to 42,284.28, 58,350 and 23,421 is: 32,319.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,284.28 : 58,350 = 23,421 : x
  2. Step 2: Convert to fraction form
    42,284.28/58,350 = 23,421/x
  3. Step 3: Cross multiply
    42,284.28x = 58,350 × 23,421
  4. Step 4: Simplify right side
    42,284.28x = 1,366,615,350
  5. Step 5: Solve for x
    x = 1,366,615,350/42,284.28
  6. Step 6: Final answer
    x = 32,319.70

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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.