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Finding the Fourth Proportional to 10,530.66, 15,763.14 and 8,956.02

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Solution

The fourth proportional to 10,530.66, 15,763.14 and 8,956.02 is: 13,406.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530.66 : 15,763.14 = 8,956.02 : x
  2. Step 2: Convert to fraction form
    10,530.66/15,763.14 = 8,956.02/x
  3. Step 3: Cross multiply
    10,530.66x = 15,763.14 × 8,956.02
  4. Step 4: Simplify right side
    10,530.66x = 141,174,997.10
  5. Step 5: Solve for x
    x = 141,174,997.10/10,530.66
  6. Step 6: Final answer
    x = 13,406.09

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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.