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Finding the Fourth Proportional to 1,543.30, 2,129.94 and 954.04

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Solution

The fourth proportional to 1,543.30, 2,129.94 and 954.04 is: 1,316.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.30 : 2,129.94 = 954.04 : x
  2. Step 2: Convert to fraction form
    1,543.30/2,129.94 = 954.04/x
  3. Step 3: Cross multiply
    1,543.30x = 2,129.94 × 954.04
  4. Step 4: Simplify right side
    1,543.30x = 2,032,047.96
  5. Step 5: Solve for x
    x = 2,032,047.96/1,543.30
  6. Step 6: Final answer
    x = 1,316.69

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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.