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Finding the Fourth Proportional to 6,390.32, 9,574.47 and 4,987.53

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Solution

The fourth proportional to 6,390.32, 9,574.47 and 4,987.53 is: 7,472.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,390.32 : 9,574.47 = 4,987.53 : x
  2. Step 2: Convert to fraction form
    6,390.32/9,574.47 = 4,987.53/x
  3. Step 3: Cross multiply
    6,390.32x = 9,574.47 × 4,987.53
  4. Step 4: Simplify right side
    6,390.32x = 47,752,956.36
  5. Step 5: Solve for x
    x = 47,752,956.36/6,390.32
  6. Step 6: Final answer
    x = 7,472.71

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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.