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Finding the Fourth Proportional to 10,989.88, 15,165.48 and 6,514

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Solution

The fourth proportional to 10,989.88, 15,165.48 and 6,514 is: 8,988.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,989.88 : 15,165.48 = 6,514 : x
  2. Step 2: Convert to fraction form
    10,989.88/15,165.48 = 6,514/x
  3. Step 3: Cross multiply
    10,989.88x = 15,165.48 × 6,514
  4. Step 4: Simplify right side
    10,989.88x = 98,787,936.72
  5. Step 5: Solve for x
    x = 98,787,936.72/10,989.88
  6. Step 6: Final answer
    x = 8,988.99

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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.