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Finding the Fourth Proportional to 1,871.64, 2,582.74 and 1,032.20

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Solution

The fourth proportional to 1,871.64, 2,582.74 and 1,032.20 is: 1,424.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.64 : 2,582.74 = 1,032.20 : x
  2. Step 2: Convert to fraction form
    1,871.64/2,582.74 = 1,032.20/x
  3. Step 3: Cross multiply
    1,871.64x = 2,582.74 × 1,032.20
  4. Step 4: Simplify right side
    1,871.64x = 2,665,904.23
  5. Step 5: Solve for x
    x = 2,665,904.23/1,871.64
  6. Step 6: Final answer
    x = 1,424.37

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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.