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Finding the Fourth Proportional to 8,966.84, 12,374 and 4,988.10

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Solution

The fourth proportional to 8,966.84, 12,374 and 4,988.10 is: 6,883.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,966.84 : 12,374 = 4,988.10 : x
  2. Step 2: Convert to fraction form
    8,966.84/12,374 = 4,988.10/x
  3. Step 3: Cross multiply
    8,966.84x = 12,374 × 4,988.10
  4. Step 4: Simplify right side
    8,966.84x = 61,722,749.40
  5. Step 5: Solve for x
    x = 61,722,749.40/8,966.84
  6. Step 6: Final answer
    x = 6,883.44

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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.