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Finding the Fourth Proportional to 7,752.56, 11,638.44 and 7,717.04

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Solution

The fourth proportional to 7,752.56, 11,638.44 and 7,717.04 is: 11,585.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.56 : 11,638.44 = 7,717.04 : x
  2. Step 2: Convert to fraction form
    7,752.56/11,638.44 = 7,717.04/x
  3. Step 3: Cross multiply
    7,752.56x = 11,638.44 × 7,717.04
  4. Step 4: Simplify right side
    7,752.56x = 89,814,307.02
  5. Step 5: Solve for x
    x = 89,814,307.02/7,752.56
  6. Step 6: Final answer
    x = 11,585.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.