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Finding the Fourth Proportional to 7,702.77, 11,551.86 and 2,154.77

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Solution

The fourth proportional to 7,702.77, 11,551.86 and 2,154.77 is: 3,231.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.77 : 11,551.86 = 2,154.77 : x
  2. Step 2: Convert to fraction form
    7,702.77/11,551.86 = 2,154.77/x
  3. Step 3: Cross multiply
    7,702.77x = 11,551.86 × 2,154.77
  4. Step 4: Simplify right side
    7,702.77x = 24,891,543.61
  5. Step 5: Solve for x
    x = 24,891,543.61/7,702.77
  6. Step 6: Final answer
    x = 3,231.51

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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.