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Finding the Fourth Proportional to 2,133.62, 2,947.02 and 1,543.22

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Solution

The fourth proportional to 2,133.62, 2,947.02 and 1,543.22 is: 2,131.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.62 : 2,947.02 = 1,543.22 : x
  2. Step 2: Convert to fraction form
    2,133.62/2,947.02 = 1,543.22/x
  3. Step 3: Cross multiply
    2,133.62x = 2,947.02 × 1,543.22
  4. Step 4: Simplify right side
    2,133.62x = 4,547,900.20
  5. Step 5: Solve for x
    x = 4,547,900.20/2,133.62
  6. Step 6: Final answer
    x = 2,131.54

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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.