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Finding the Fourth Proportional to 42,547.76, 63,803.10 and 12,958.66

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Solution

The fourth proportional to 42,547.76, 63,803.10 and 12,958.66 is: 19,432.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,547.76 : 63,803.10 = 12,958.66 : x
  2. Step 2: Convert to fraction form
    42,547.76/63,803.10 = 12,958.66/x
  3. Step 3: Cross multiply
    42,547.76x = 63,803.10 × 12,958.66
  4. Step 4: Simplify right side
    42,547.76x = 826,802,520.34
  5. Step 5: Solve for x
    x = 826,802,520.34/42,547.76
  6. Step 6: Final answer
    x = 19,432.34

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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.