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Finding the Fourth Proportional to 42,295.60, 63,447.72 and 14,590

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Solution

The fourth proportional to 42,295.60, 63,447.72 and 14,590 is: 21,886.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,295.60 : 63,447.72 = 14,590 : x
  2. Step 2: Convert to fraction form
    42,295.60/63,447.72 = 14,590/x
  3. Step 3: Cross multiply
    42,295.60x = 63,447.72 × 14,590
  4. Step 4: Simplify right side
    42,295.60x = 925,702,234.80
  5. Step 5: Solve for x
    x = 925,702,234.80/42,295.60
  6. Step 6: Final answer
    x = 21,886.49

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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.