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Finding the Fourth Proportional to 10,983.88, 15,164.64 and 8,461.24

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Solution

The fourth proportional to 10,983.88, 15,164.64 and 8,461.24 is: 11,681.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,983.88 : 15,164.64 = 8,461.24 : x
  2. Step 2: Convert to fraction form
    10,983.88/15,164.64 = 8,461.24/x
  3. Step 3: Cross multiply
    10,983.88x = 15,164.64 × 8,461.24
  4. Step 4: Simplify right side
    10,983.88x = 128,311,658.55
  5. Step 5: Solve for x
    x = 128,311,658.55/10,983.88
  6. Step 6: Final answer
    x = 11,681.82

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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.