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Finding the Fourth Proportional to 8,982, 12,387.04 and 7,068.64

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Solution

The fourth proportional to 8,982, 12,387.04 and 7,068.64 is: 9,748.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,982 : 12,387.04 = 7,068.64 : x
  2. Step 2: Convert to fraction form
    8,982/12,387.04 = 7,068.64/x
  3. Step 3: Cross multiply
    8,982x = 12,387.04 × 7,068.64
  4. Step 4: Simplify right side
    8,982x = 87,559,526.43
  5. Step 5: Solve for x
    x = 87,559,526.43/8,982
  6. Step 6: Final answer
    x = 9,748.33

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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.