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Finding the Fourth Proportional to 6,497.85, 9,750.50 and 6,445

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Solution

The fourth proportional to 6,497.85, 9,750.50 and 6,445 is: 9,671.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.85 : 9,750.50 = 6,445 : x
  2. Step 2: Convert to fraction form
    6,497.85/9,750.50 = 6,445/x
  3. Step 3: Cross multiply
    6,497.85x = 9,750.50 × 6,445
  4. Step 4: Simplify right side
    6,497.85x = 62,841,972.50
  5. Step 5: Solve for x
    x = 62,841,972.50/6,497.85
  6. Step 6: Final answer
    x = 9,671.19

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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.