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Finding the Fourth Proportional to 12,697.70, 17,522.81 and 7,108.74

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Solution

The fourth proportional to 12,697.70, 17,522.81 and 7,108.74 is: 9,810.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,697.70 : 17,522.81 = 7,108.74 : x
  2. Step 2: Convert to fraction form
    12,697.70/17,522.81 = 7,108.74/x
  3. Step 3: Cross multiply
    12,697.70x = 17,522.81 × 7,108.74
  4. Step 4: Simplify right side
    12,697.70x = 124,565,100.36
  5. Step 5: Solve for x
    x = 124,565,100.36/12,697.70
  6. Step 6: Final answer
    x = 9,810.05

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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.