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Finding the Fourth Proportional to 42,468, 63,699.48 and 12,886.08

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Solution

The fourth proportional to 42,468, 63,699.48 and 12,886.08 is: 19,328.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,468 : 63,699.48 = 12,886.08 : x
  2. Step 2: Convert to fraction form
    42,468/63,699.48 = 12,886.08/x
  3. Step 3: Cross multiply
    42,468x = 63,699.48 × 12,886.08
  4. Step 4: Simplify right side
    42,468x = 820,836,595.24
  5. Step 5: Solve for x
    x = 820,836,595.24/42,468
  6. Step 6: Final answer
    x = 19,328.36

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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.