Home / 2,042-2,818.44-1,158.32

Finding the Fourth Proportional to 2,042, 2,818.44 and 1,158.32

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Solution

The fourth proportional to 2,042, 2,818.44 and 1,158.32 is: 1,598.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042 : 2,818.44 = 1,158.32 : x
  2. Step 2: Convert to fraction form
    2,042/2,818.44 = 1,158.32/x
  3. Step 3: Cross multiply
    2,042x = 2,818.44 × 1,158.32
  4. Step 4: Simplify right side
    2,042x = 3,264,655.42
  5. Step 5: Solve for x
    x = 3,264,655.42/2,042
  6. Step 6: Final answer
    x = 1,598.75

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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.