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Finding the Fourth Proportional to 8,605.71, 12,875.94 and 5,097.60

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Solution

The fourth proportional to 8,605.71, 12,875.94 and 5,097.60 is: 7,627.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,605.71 : 12,875.94 = 5,097.60 : x
  2. Step 2: Convert to fraction form
    8,605.71/12,875.94 = 5,097.60/x
  3. Step 3: Cross multiply
    8,605.71x = 12,875.94 × 5,097.60
  4. Step 4: Simplify right side
    8,605.71x = 65,636,391.74
  5. Step 5: Solve for x
    x = 65,636,391.74/8,605.71
  6. Step 6: Final answer
    x = 7,627.07

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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.