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Finding the Fourth Proportional to 11,471.76, 15,830.10 and 6,435.28

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Solution

The fourth proportional to 11,471.76, 15,830.10 and 6,435.28 is: 8,880.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.76 : 15,830.10 = 6,435.28 : x
  2. Step 2: Convert to fraction form
    11,471.76/15,830.10 = 6,435.28/x
  3. Step 3: Cross multiply
    11,471.76x = 15,830.10 × 6,435.28
  4. Step 4: Simplify right side
    11,471.76x = 101,871,093.75
  5. Step 5: Solve for x
    x = 101,871,093.75/11,471.76
  6. Step 6: Final answer
    x = 8,880.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.