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Finding the Fourth Proportional to 10,605.60, 14,627.38 and 7,417.84

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Solution

The fourth proportional to 10,605.60, 14,627.38 and 7,417.84 is: 10,230.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.60 : 14,627.38 = 7,417.84 : x
  2. Step 2: Convert to fraction form
    10,605.60/14,627.38 = 7,417.84/x
  3. Step 3: Cross multiply
    10,605.60x = 14,627.38 × 7,417.84
  4. Step 4: Simplify right side
    10,605.60x = 108,503,564.46
  5. Step 5: Solve for x
    x = 108,503,564.46/10,605.60
  6. Step 6: Final answer
    x = 10,230.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.