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Finding the Fourth Proportional to 7,656.38, 11,480.10 and 2,970.92

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Solution

The fourth proportional to 7,656.38, 11,480.10 and 2,970.92 is: 4,454.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.38 : 11,480.10 = 2,970.92 : x
  2. Step 2: Convert to fraction form
    7,656.38/11,480.10 = 2,970.92/x
  3. Step 3: Cross multiply
    7,656.38x = 11,480.10 × 2,970.92
  4. Step 4: Simplify right side
    7,656.38x = 34,106,458.69
  5. Step 5: Solve for x
    x = 34,106,458.69/7,656.38
  6. Step 6: Final answer
    x = 4,454.65

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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.