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Finding the Fourth Proportional to 9,687.74, 14,512.55 and 6,390.76

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Solution

The fourth proportional to 9,687.74, 14,512.55 and 6,390.76 is: 9,573.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.74 : 14,512.55 = 6,390.76 : x
  2. Step 2: Convert to fraction form
    9,687.74/14,512.55 = 6,390.76/x
  3. Step 3: Cross multiply
    9,687.74x = 14,512.55 × 6,390.76
  4. Step 4: Simplify right side
    9,687.74x = 92,746,224.04
  5. Step 5: Solve for x
    x = 92,746,224.04/9,687.74
  6. Step 6: Final answer
    x = 9,573.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.