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Finding the Fourth Proportional to 10,636.32, 15,932.88 and 5,368.08

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Solution

The fourth proportional to 10,636.32, 15,932.88 and 5,368.08 is: 8,041.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,636.32 : 15,932.88 = 5,368.08 : x
  2. Step 2: Convert to fraction form
    10,636.32/15,932.88 = 5,368.08/x
  3. Step 3: Cross multiply
    10,636.32x = 15,932.88 × 5,368.08
  4. Step 4: Simplify right side
    10,636.32x = 85,528,974.47
  5. Step 5: Solve for x
    x = 85,528,974.47/10,636.32
  6. Step 6: Final answer
    x = 8,041.22

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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.