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Finding the Fourth Proportional to 8,541.64, 11,782.02 and 7,530.76

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Solution

The fourth proportional to 8,541.64, 11,782.02 and 7,530.76 is: 10,387.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,541.64 : 11,782.02 = 7,530.76 : x
  2. Step 2: Convert to fraction form
    8,541.64/11,782.02 = 7,530.76/x
  3. Step 3: Cross multiply
    8,541.64x = 11,782.02 × 7,530.76
  4. Step 4: Simplify right side
    8,541.64x = 88,727,564.94
  5. Step 5: Solve for x
    x = 88,727,564.94/8,541.64
  6. Step 6: Final answer
    x = 10,387.65

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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.