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Finding the Fourth Proportional to 9,678.38, 14,520 and 2,752.88

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Solution

The fourth proportional to 9,678.38, 14,520 and 2,752.88 is: 4,130.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.38 : 14,520 = 2,752.88 : x
  2. Step 2: Convert to fraction form
    9,678.38/14,520 = 2,752.88/x
  3. Step 3: Cross multiply
    9,678.38x = 14,520 × 2,752.88
  4. Step 4: Simplify right side
    9,678.38x = 39,971,745
  5. Step 5: Solve for x
    x = 39,971,745/9,678.38
  6. Step 6: Final answer
    x = 4,130.01

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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.