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Finding the Fourth Proportional to 1,543.86, 2,129.98 and 1,071.63

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Solution

The fourth proportional to 1,543.86, 2,129.98 and 1,071.63 is: 1,478.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.86 : 2,129.98 = 1,071.63 : x
  2. Step 2: Convert to fraction form
    1,543.86/2,129.98 = 1,071.63/x
  3. Step 3: Cross multiply
    1,543.86x = 2,129.98 × 1,071.63
  4. Step 4: Simplify right side
    1,543.86x = 2,282,534.46
  5. Step 5: Solve for x
    x = 2,282,534.46/1,543.86
  6. Step 6: Final answer
    x = 1,478.46

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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.