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Finding the Fourth Proportional to 12,700.50, 17,527.74 and 7,395.66

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Solution

The fourth proportional to 12,700.50, 17,527.74 and 7,395.66 is: 10,206.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,700.50 : 17,527.74 = 7,395.66 : x
  2. Step 2: Convert to fraction form
    12,700.50/17,527.74 = 7,395.66/x
  3. Step 3: Cross multiply
    12,700.50x = 17,527.74 × 7,395.66
  4. Step 4: Simplify right side
    12,700.50x = 129,629,205.61
  5. Step 5: Solve for x
    x = 129,629,205.61/12,700.50
  6. Step 6: Final answer
    x = 10,206.62

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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.