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Finding the Fourth Proportional to 10,388.49, 15,652.85 and 8,580.11

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Solution

The fourth proportional to 10,388.49, 15,652.85 and 8,580.11 is: 12,928.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,388.49 : 15,652.85 = 8,580.11 : x
  2. Step 2: Convert to fraction form
    10,388.49/15,652.85 = 8,580.11/x
  3. Step 3: Cross multiply
    10,388.49x = 15,652.85 × 8,580.11
  4. Step 4: Simplify right side
    10,388.49x = 134,303,214.09
  5. Step 5: Solve for x
    x = 134,303,214.09/10,388.49
  6. Step 6: Final answer
    x = 12,928.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.