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Finding the Fourth Proportional to 7,718.67, 11,510.24 and 7,648.52

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Solution

The fourth proportional to 7,718.67, 11,510.24 and 7,648.52 is: 11,405.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,718.67 : 11,510.24 = 7,648.52 : x
  2. Step 2: Convert to fraction form
    7,718.67/11,510.24 = 7,648.52/x
  3. Step 3: Cross multiply
    7,718.67x = 11,510.24 × 7,648.52
  4. Step 4: Simplify right side
    7,718.67x = 88,036,205.05
  5. Step 5: Solve for x
    x = 88,036,205.05/7,718.67
  6. Step 6: Final answer
    x = 11,405.62

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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.