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Finding the Fourth Proportional to 11,546.04, 15,932.16 and 6,509.20

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Solution

The fourth proportional to 11,546.04, 15,932.16 and 6,509.20 is: 8,981.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546.04 : 15,932.16 = 6,509.20 : x
  2. Step 2: Convert to fraction form
    11,546.04/15,932.16 = 6,509.20/x
  3. Step 3: Cross multiply
    11,546.04x = 15,932.16 × 6,509.20
  4. Step 4: Simplify right side
    11,546.04x = 103,705,615.87
  5. Step 5: Solve for x
    x = 103,705,615.87/11,546.04
  6. Step 6: Final answer
    x = 8,981.92

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1.5x scale

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.