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Finding the Fourth Proportional to 10,390.60, 15,585.90 and 2,599.41

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Solution

The fourth proportional to 10,390.60, 15,585.90 and 2,599.41 is: 3,899.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,390.60 : 15,585.90 = 2,599.41 : x
  2. Step 2: Convert to fraction form
    10,390.60/15,585.90 = 2,599.41/x
  3. Step 3: Cross multiply
    10,390.60x = 15,585.90 × 2,599.41
  4. Step 4: Simplify right side
    10,390.60x = 40,514,131.32
  5. Step 5: Solve for x
    x = 40,514,131.32/10,390.60
  6. Step 6: Final answer
    x = 3,899.12

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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.