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Finding the Fourth Proportional to 6,451.95, 9,669.42 and 4,988.28

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Solution

The fourth proportional to 6,451.95, 9,669.42 and 4,988.28 is: 7,475.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.95 : 9,669.42 = 4,988.28 : x
  2. Step 2: Convert to fraction form
    6,451.95/9,669.42 = 4,988.28/x
  3. Step 3: Cross multiply
    6,451.95x = 9,669.42 × 4,988.28
  4. Step 4: Simplify right side
    6,451.95x = 48,233,774.40
  5. Step 5: Solve for x
    x = 48,233,774.40/6,451.95
  6. Step 6: Final answer
    x = 7,475.84

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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.