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Finding the Fourth Proportional to 6,437.72, 9,640.02 and 4,460.53

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Solution

The fourth proportional to 6,437.72, 9,640.02 and 4,460.53 is: 6,679.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.72 : 9,640.02 = 4,460.53 : x
  2. Step 2: Convert to fraction form
    6,437.72/9,640.02 = 4,460.53/x
  3. Step 3: Cross multiply
    6,437.72x = 9,640.02 × 4,460.53
  4. Step 4: Simplify right side
    6,437.72x = 42,999,598.41
  5. Step 5: Solve for x
    x = 42,999,598.41/6,437.72
  6. Step 6: Final answer
    x = 6,679.32

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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.