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Finding the Fourth Proportional to 1,794.68, 2,678.87 and 1,587.32

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Solution

The fourth proportional to 1,794.68, 2,678.87 and 1,587.32 is: 2,369.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794.68 : 2,678.87 = 1,587.32 : x
  2. Step 2: Convert to fraction form
    1,794.68/2,678.87 = 1,587.32/x
  3. Step 3: Cross multiply
    1,794.68x = 2,678.87 × 1,587.32
  4. Step 4: Simplify right side
    1,794.68x = 4,252,223.93
  5. Step 5: Solve for x
    x = 4,252,223.93/1,794.68
  6. Step 6: Final answer
    x = 2,369.35

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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.