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Finding the Fourth Proportional to 10,521.64, 14,519.14 and 5,806

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Solution

The fourth proportional to 10,521.64, 14,519.14 and 5,806 is: 8,011.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,521.64 : 14,519.14 = 5,806 : x
  2. Step 2: Convert to fraction form
    10,521.64/14,519.14 = 5,806/x
  3. Step 3: Cross multiply
    10,521.64x = 14,519.14 × 5,806
  4. Step 4: Simplify right side
    10,521.64x = 84,298,126.84
  5. Step 5: Solve for x
    x = 84,298,126.84/10,521.64
  6. Step 6: Final answer
    x = 8,011.88

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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.