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Finding the Fourth Proportional to 7,700.08, 11,550.13 and 1,856.69

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Solution

The fourth proportional to 7,700.08, 11,550.13 and 1,856.69 is: 2,785.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.08 : 11,550.13 = 1,856.69 : x
  2. Step 2: Convert to fraction form
    7,700.08/11,550.13 = 1,856.69/x
  3. Step 3: Cross multiply
    7,700.08x = 11,550.13 × 1,856.69
  4. Step 4: Simplify right side
    7,700.08x = 21,445,010.87
  5. Step 5: Solve for x
    x = 21,445,010.87/7,700.08
  6. Step 6: Final answer
    x = 2,785.04

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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.