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Finding the Fourth Proportional to 7,523.91, 11,206.43 and 7,128.77

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Solution

The fourth proportional to 7,523.91, 11,206.43 and 7,128.77 is: 10,617.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,523.91 : 11,206.43 = 7,128.77 : x
  2. Step 2: Convert to fraction form
    7,523.91/11,206.43 = 7,128.77/x
  3. Step 3: Cross multiply
    7,523.91x = 11,206.43 × 7,128.77
  4. Step 4: Simplify right side
    7,523.91x = 79,887,970.32
  5. Step 5: Solve for x
    x = 79,887,970.32/7,523.91
  6. Step 6: Final answer
    x = 10,617.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.