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Finding the Fourth Proportional to 9,678.90, 14,500.08 and 5,718.34

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Solution

The fourth proportional to 9,678.90, 14,500.08 and 5,718.34 is: 8,566.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.90 : 14,500.08 = 5,718.34 : x
  2. Step 2: Convert to fraction form
    9,678.90/14,500.08 = 5,718.34/x
  3. Step 3: Cross multiply
    9,678.90x = 14,500.08 × 5,718.34
  4. Step 4: Simplify right side
    9,678.90x = 82,916,387.47
  5. Step 5: Solve for x
    x = 82,916,387.47/9,678.90
  6. Step 6: Final answer
    x = 8,566.72

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1.5x scale

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.