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Finding the Fourth Proportional to 10,386, 15,578.99 and 9,350.34

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Solution

The fourth proportional to 10,386, 15,578.99 and 9,350.34 is: 14,025.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,386 : 15,578.99 = 9,350.34 : x
  2. Step 2: Convert to fraction form
    10,386/15,578.99 = 9,350.34/x
  3. Step 3: Cross multiply
    10,386x = 15,578.99 × 9,350.34
  4. Step 4: Simplify right side
    10,386x = 145,668,853.36
  5. Step 5: Solve for x
    x = 145,668,853.36/10,386
  6. Step 6: Final answer
    x = 14,025.50

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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.