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Finding the Fourth Proportional to 8,616.84, 11,877.42 and 6,489.24

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Solution

The fourth proportional to 8,616.84, 11,877.42 and 6,489.24 is: 8,944.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,616.84 : 11,877.42 = 6,489.24 : x
  2. Step 2: Convert to fraction form
    8,616.84/11,877.42 = 6,489.24/x
  3. Step 3: Cross multiply
    8,616.84x = 11,877.42 × 6,489.24
  4. Step 4: Simplify right side
    8,616.84x = 77,075,428.96
  5. Step 5: Solve for x
    x = 77,075,428.96/8,616.84
  6. Step 6: Final answer
    x = 8,944.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.