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Finding the Fourth Proportional to 42,465.92, 63,699.02 and 12,884

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Solution

The fourth proportional to 42,465.92, 63,699.02 and 12,884 is: 19,326.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,465.92 : 63,699.02 = 12,884 : x
  2. Step 2: Convert to fraction form
    42,465.92/63,699.02 = 12,884/x
  3. Step 3: Cross multiply
    42,465.92x = 63,699.02 × 12,884
  4. Step 4: Simplify right side
    42,465.92x = 820,698,173.68
  5. Step 5: Solve for x
    x = 820,698,173.68/42,465.92
  6. Step 6: Final answer
    x = 19,326.04

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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.