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Finding the Fourth Proportional to 11,580.54, 15,981.04 and 6,275.40

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Solution

The fourth proportional to 11,580.54, 15,981.04 and 6,275.40 is: 8,659.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580.54 : 15,981.04 = 6,275.40 : x
  2. Step 2: Convert to fraction form
    11,580.54/15,981.04 = 6,275.40/x
  3. Step 3: Cross multiply
    11,580.54x = 15,981.04 × 6,275.40
  4. Step 4: Simplify right side
    11,580.54x = 100,287,418.42
  5. Step 5: Solve for x
    x = 100,287,418.42/11,580.54
  6. Step 6: Final answer
    x = 8,659.99

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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.