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Finding the Fourth Proportional to 10,530.90, 14,532.12 and 5,815.08

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Solution

The fourth proportional to 10,530.90, 14,532.12 and 5,815.08 is: 8,024.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530.90 : 14,532.12 = 5,815.08 : x
  2. Step 2: Convert to fraction form
    10,530.90/14,532.12 = 5,815.08/x
  3. Step 3: Cross multiply
    10,530.90x = 14,532.12 × 5,815.08
  4. Step 4: Simplify right side
    10,530.90x = 84,505,440.37
  5. Step 5: Solve for x
    x = 84,505,440.37/10,530.90
  6. Step 6: Final answer
    x = 8,024.52

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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.