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Finding the Fourth Proportional to 12,434.76, 18,657.71 and 6,590

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Solution

The fourth proportional to 12,434.76, 18,657.71 and 6,590 is: 9,887.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434.76 : 18,657.71 = 6,590 : x
  2. Step 2: Convert to fraction form
    12,434.76/18,657.71 = 6,590/x
  3. Step 3: Cross multiply
    12,434.76x = 18,657.71 × 6,590
  4. Step 4: Simplify right side
    12,434.76x = 122,954,308.90
  5. Step 5: Solve for x
    x = 122,954,308.90/12,434.76
  6. Step 6: Final answer
    x = 9,887.95

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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.