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Finding the Fourth Proportional to 1,873.84, 2,585.76 and 1,087.72

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Solution

The fourth proportional to 1,873.84, 2,585.76 and 1,087.72 is: 1,500.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.84 : 2,585.76 = 1,087.72 : x
  2. Step 2: Convert to fraction form
    1,873.84/2,585.76 = 1,087.72/x
  3. Step 3: Cross multiply
    1,873.84x = 2,585.76 × 1,087.72
  4. Step 4: Simplify right side
    1,873.84x = 2,812,582.87
  5. Step 5: Solve for x
    x = 2,812,582.87/1,873.84
  6. Step 6: Final answer
    x = 1,500.97

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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.