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Finding the Fourth Proportional to 7,641.68, 11,447.88 and 5,172.24

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Solution

The fourth proportional to 7,641.68, 11,447.88 and 5,172.24 is: 7,748.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.68 : 11,447.88 = 5,172.24 : x
  2. Step 2: Convert to fraction form
    7,641.68/11,447.88 = 5,172.24/x
  3. Step 3: Cross multiply
    7,641.68x = 11,447.88 × 5,172.24
  4. Step 4: Simplify right side
    7,641.68x = 59,211,182.85
  5. Step 5: Solve for x
    x = 59,211,182.85/7,641.68
  6. Step 6: Final answer
    x = 7,748.45

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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.