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Finding the Fourth Proportional to 1,864.92, 2,573.45 and 1,078.82

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Solution

The fourth proportional to 1,864.92, 2,573.45 and 1,078.82 is: 1,488.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.92 : 2,573.45 = 1,078.82 : x
  2. Step 2: Convert to fraction form
    1,864.92/2,573.45 = 1,078.82/x
  3. Step 3: Cross multiply
    1,864.92x = 2,573.45 × 1,078.82
  4. Step 4: Simplify right side
    1,864.92x = 2,776,276.46
  5. Step 5: Solve for x
    x = 2,776,276.46/1,864.92
  6. Step 6: Final answer
    x = 1,488.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.