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Finding the Fourth Proportional to 10,398.36, 15,583.90 and 9,078.76

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Solution

The fourth proportional to 10,398.36, 15,583.90 and 9,078.76 is: 13,606.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.36 : 15,583.90 = 9,078.76 : x
  2. Step 2: Convert to fraction form
    10,398.36/15,583.90 = 9,078.76/x
  3. Step 3: Cross multiply
    10,398.36x = 15,583.90 × 9,078.76
  4. Step 4: Simplify right side
    10,398.36x = 141,482,487.96
  5. Step 5: Solve for x
    x = 141,482,487.96/10,398.36
  6. Step 6: Final answer
    x = 13,606.23

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1.5x scale

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.