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Finding the Fourth Proportional to 12,697.70, 17,523.91 and 7,394.18

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Solution

The fourth proportional to 12,697.70, 17,523.91 and 7,394.18 is: 10,204.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,697.70 : 17,523.91 = 7,394.18 : x
  2. Step 2: Convert to fraction form
    12,697.70/17,523.91 = 7,394.18/x
  3. Step 3: Cross multiply
    12,697.70x = 17,523.91 × 7,394.18
  4. Step 4: Simplify right side
    12,697.70x = 129,574,944.84
  5. Step 5: Solve for x
    x = 129,574,944.84/12,697.70
  6. Step 6: Final answer
    x = 10,204.60

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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.