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Finding the Fourth Proportional to 6,470.70, 9,699.96 and 4,887

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Solution

The fourth proportional to 6,470.70, 9,699.96 and 4,887 is: 7,325.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.70 : 9,699.96 = 4,887 : x
  2. Step 2: Convert to fraction form
    6,470.70/9,699.96 = 4,887/x
  3. Step 3: Cross multiply
    6,470.70x = 9,699.96 × 4,887
  4. Step 4: Simplify right side
    6,470.70x = 47,403,704.52
  5. Step 5: Solve for x
    x = 47,403,704.52/6,470.70
  6. Step 6: Final answer
    x = 7,325.90

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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.