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Finding the Fourth Proportional to 2,153.47, 2,972.02 and 1,367.52

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Solution

The fourth proportional to 2,153.47, 2,972.02 and 1,367.52 is: 1,887.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.47 : 2,972.02 = 1,367.52 : x
  2. Step 2: Convert to fraction form
    2,153.47/2,972.02 = 1,367.52/x
  3. Step 3: Cross multiply
    2,153.47x = 2,972.02 × 1,367.52
  4. Step 4: Simplify right side
    2,153.47x = 4,064,278.81
  5. Step 5: Solve for x
    x = 4,064,278.81/2,153.47
  6. Step 6: Final answer
    x = 1,887.32

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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.