Home / 1,543.31-2,312.64-926.34

Finding the Fourth Proportional to 1,543.31, 2,312.64 and 926.34

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Solution

The fourth proportional to 1,543.31, 2,312.64 and 926.34 is: 1,388.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.31 : 2,312.64 = 926.34 : x
  2. Step 2: Convert to fraction form
    1,543.31/2,312.64 = 926.34/x
  3. Step 3: Cross multiply
    1,543.31x = 2,312.64 × 926.34
  4. Step 4: Simplify right side
    1,543.31x = 2,142,290.94
  5. Step 5: Solve for x
    x = 2,142,290.94/1,543.31
  6. Step 6: Final answer
    x = 1,388.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.