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Finding the Fourth Proportional to 1,871.78, 2,582.08 and 1,521.86

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Solution

The fourth proportional to 1,871.78, 2,582.08 and 1,521.86 is: 2,099.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.78 : 2,582.08 = 1,521.86 : x
  2. Step 2: Convert to fraction form
    1,871.78/2,582.08 = 1,521.86/x
  3. Step 3: Cross multiply
    1,871.78x = 2,582.08 × 1,521.86
  4. Step 4: Simplify right side
    1,871.78x = 3,929,547.55
  5. Step 5: Solve for x
    x = 3,929,547.55/1,871.78
  6. Step 6: Final answer
    x = 2,099.37

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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.