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Finding the Fourth Proportional to 8,925.82, 12,305.95 and 7,680.24

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Solution

The fourth proportional to 8,925.82, 12,305.95 and 7,680.24 is: 10,588.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,925.82 : 12,305.95 = 7,680.24 : x
  2. Step 2: Convert to fraction form
    8,925.82/12,305.95 = 7,680.24/x
  3. Step 3: Cross multiply
    8,925.82x = 12,305.95 × 7,680.24
  4. Step 4: Simplify right side
    8,925.82x = 94,512,630.23
  5. Step 5: Solve for x
    x = 94,512,630.23/8,925.82
  6. Step 6: Final answer
    x = 10,588.68

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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.