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Finding the Fourth Proportional to 1,864.42, 2,785.63 and 1,799.80

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Solution

The fourth proportional to 1,864.42, 2,785.63 and 1,799.80 is: 2,689.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.42 : 2,785.63 = 1,799.80 : x
  2. Step 2: Convert to fraction form
    1,864.42/2,785.63 = 1,799.80/x
  3. Step 3: Cross multiply
    1,864.42x = 2,785.63 × 1,799.80
  4. Step 4: Simplify right side
    1,864.42x = 5,013,576.87
  5. Step 5: Solve for x
    x = 5,013,576.87/1,864.42
  6. Step 6: Final answer
    x = 2,689.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.