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Finding the Fourth Proportional to 1,543.77, 2,326.50 and 1,389.87

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Solution

The fourth proportional to 1,543.77, 2,326.50 and 1,389.87 is: 2,094.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.77 : 2,326.50 = 1,389.87 : x
  2. Step 2: Convert to fraction form
    1,543.77/2,326.50 = 1,389.87/x
  3. Step 3: Cross multiply
    1,543.77x = 2,326.50 × 1,389.87
  4. Step 4: Simplify right side
    1,543.77x = 3,233,532.56
  5. Step 5: Solve for x
    x = 3,233,532.56/1,543.77
  6. Step 6: Final answer
    x = 2,094.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.