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Finding the Fourth Proportional to 42,807.41, 64,214.19 and 13,221.41

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Solution

The fourth proportional to 42,807.41, 64,214.19 and 13,221.41 is: 19,833.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,807.41 : 64,214.19 = 13,221.41 : x
  2. Step 2: Convert to fraction form
    42,807.41/64,214.19 = 13,221.41/x
  3. Step 3: Cross multiply
    42,807.41x = 64,214.19 × 13,221.41
  4. Step 4: Simplify right side
    42,807.41x = 849,001,812.74
  5. Step 5: Solve for x
    x = 849,001,812.74/42,807.41
  6. Step 6: Final answer
    x = 19,833.06

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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.