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Finding the Fourth Proportional to 7,641.60, 10,522 and 5,756

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Solution

The fourth proportional to 7,641.60, 10,522 and 5,756 is: 7,925.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.60 : 10,522 = 5,756 : x
  2. Step 2: Convert to fraction form
    7,641.60/10,522 = 5,756/x
  3. Step 3: Cross multiply
    7,641.60x = 10,522 × 5,756
  4. Step 4: Simplify right side
    7,641.60x = 60,564,632
  5. Step 5: Solve for x
    x = 60,564,632/7,641.60
  6. Step 6: Final answer
    x = 7,925.65

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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.