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Finding the Fourth Proportional to 7,700.16, 11,550.23 and 1,856.77

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Solution

The fourth proportional to 7,700.16, 11,550.23 and 1,856.77 is: 2,785.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.16 : 11,550.23 = 1,856.77 : x
  2. Step 2: Convert to fraction form
    7,700.16/11,550.23 = 1,856.77/x
  3. Step 3: Cross multiply
    7,700.16x = 11,550.23 × 1,856.77
  4. Step 4: Simplify right side
    7,700.16x = 21,446,062.81
  5. Step 5: Solve for x
    x = 21,446,062.81/7,700.16
  6. Step 6: Final answer
    x = 2,785.15

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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.