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Finding the Fourth Proportional to 1,871.16, 2,582.06 and 1,043

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Solution

The fourth proportional to 1,871.16, 2,582.06 and 1,043 is: 1,439.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.16 : 2,582.06 = 1,043 : x
  2. Step 2: Convert to fraction form
    1,871.16/2,582.06 = 1,043/x
  3. Step 3: Cross multiply
    1,871.16x = 2,582.06 × 1,043
  4. Step 4: Simplify right side
    1,871.16x = 2,693,088.58
  5. Step 5: Solve for x
    x = 2,693,088.58/1,871.16
  6. Step 6: Final answer
    x = 1,439.26

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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.