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Finding the Fourth Proportional to 7,497.76, 10,271.88 and 7,217.39

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Solution

The fourth proportional to 7,497.76, 10,271.88 and 7,217.39 is: 9,887.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497.76 : 10,271.88 = 7,217.39 : x
  2. Step 2: Convert to fraction form
    7,497.76/10,271.88 = 7,217.39/x
  3. Step 3: Cross multiply
    7,497.76x = 10,271.88 × 7,217.39
  4. Step 4: Simplify right side
    7,497.76x = 74,136,189.67
  5. Step 5: Solve for x
    x = 74,136,189.67/7,497.76
  6. Step 6: Final answer
    x = 9,887.78

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.