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Finding the Fourth Proportional to 7,528, 10,388.62 and 4,170.82

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Solution

The fourth proportional to 7,528, 10,388.62 and 4,170.82 is: 5,755.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,528 : 10,388.62 = 4,170.82 : x
  2. Step 2: Convert to fraction form
    7,528/10,388.62 = 4,170.82/x
  3. Step 3: Cross multiply
    7,528x = 10,388.62 × 4,170.82
  4. Step 4: Simplify right side
    7,528x = 43,329,064.07
  5. Step 5: Solve for x
    x = 43,329,064.07/7,528
  6. Step 6: Final answer
    x = 5,755.72

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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.