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Finding the Fourth Proportional to 9,172.95, 12,658.65 and 5,193.83

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Solution

The fourth proportional to 9,172.95, 12,658.65 and 5,193.83 is: 7,167.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,172.95 : 12,658.65 = 5,193.83 : x
  2. Step 2: Convert to fraction form
    9,172.95/12,658.65 = 5,193.83/x
  3. Step 3: Cross multiply
    9,172.95x = 12,658.65 × 5,193.83
  4. Step 4: Simplify right side
    9,172.95x = 65,746,812.84
  5. Step 5: Solve for x
    x = 65,746,812.84/9,172.95
  6. Step 6: Final answer
    x = 7,167.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.