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Finding the Fourth Proportional to 10,482.42, 15,689.08 and 5,731.32

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Solution

The fourth proportional to 10,482.42, 15,689.08 and 5,731.32 is: 8,578.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.42 : 15,689.08 = 5,731.32 : x
  2. Step 2: Convert to fraction form
    10,482.42/15,689.08 = 5,731.32/x
  3. Step 3: Cross multiply
    10,482.42x = 15,689.08 × 5,731.32
  4. Step 4: Simplify right side
    10,482.42x = 89,919,137.99
  5. Step 5: Solve for x
    x = 89,919,137.99/10,482.42
  6. Step 6: Final answer
    x = 8,578.09

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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.