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Finding the Fourth Proportional to 7,492.65, 10,339.80 and 4,135.61

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Solution

The fourth proportional to 7,492.65, 10,339.80 and 4,135.61 is: 5,707.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,492.65 : 10,339.80 = 4,135.61 : x
  2. Step 2: Convert to fraction form
    7,492.65/10,339.80 = 4,135.61/x
  3. Step 3: Cross multiply
    7,492.65x = 10,339.80 × 4,135.61
  4. Step 4: Simplify right side
    7,492.65x = 42,761,355.72
  5. Step 5: Solve for x
    x = 42,761,355.72/7,492.65
  6. Step 6: Final answer
    x = 5,707.11

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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.