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Finding the Fourth Proportional to 6,468, 9,700.08 and 4,386.72

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Solution

The fourth proportional to 6,468, 9,700.08 and 4,386.72 is: 6,578.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468 : 9,700.08 = 4,386.72 : x
  2. Step 2: Convert to fraction form
    6,468/9,700.08 = 4,386.72/x
  3. Step 3: Cross multiply
    6,468x = 9,700.08 × 4,386.72
  4. Step 4: Simplify right side
    6,468x = 42,551,534.94
  5. Step 5: Solve for x
    x = 42,551,534.94/6,468
  6. Step 6: Final answer
    x = 6,578.78

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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.