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Finding the Fourth Proportional to 6,404.90, 9,607.35 and 3,931.70

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Solution

The fourth proportional to 6,404.90, 9,607.35 and 3,931.70 is: 5,897.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.90 : 9,607.35 = 3,931.70 : x
  2. Step 2: Convert to fraction form
    6,404.90/9,607.35 = 3,931.70/x
  3. Step 3: Cross multiply
    6,404.90x = 9,607.35 × 3,931.70
  4. Step 4: Simplify right side
    6,404.90x = 37,773,218.00
  5. Step 5: Solve for x
    x = 37,773,218.00/6,404.90
  6. Step 6: Final answer
    x = 5,897.55

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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.