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Finding the Fourth Proportional to 7,228.68, 10,778.65 and 7,214.90

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Solution

The fourth proportional to 7,228.68, 10,778.65 and 7,214.90 is: 10,758.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.68 : 10,778.65 = 7,214.90 : x
  2. Step 2: Convert to fraction form
    7,228.68/10,778.65 = 7,214.90/x
  3. Step 3: Cross multiply
    7,228.68x = 10,778.65 × 7,214.90
  4. Step 4: Simplify right side
    7,228.68x = 77,766,881.89
  5. Step 5: Solve for x
    x = 77,766,881.89/7,228.68
  6. Step 6: Final answer
    x = 10,758.10

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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.