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Finding the Fourth Proportional to 1,353.42, 1,865.34 and 1,113.84

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Solution

The fourth proportional to 1,353.42, 1,865.34 and 1,113.84 is: 1,535.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.42 : 1,865.34 = 1,113.84 : x
  2. Step 2: Convert to fraction form
    1,353.42/1,865.34 = 1,113.84/x
  3. Step 3: Cross multiply
    1,353.42x = 1,865.34 × 1,113.84
  4. Step 4: Simplify right side
    1,353.42x = 2,077,690.31
  5. Step 5: Solve for x
    x = 2,077,690.31/1,353.42
  6. Step 6: Final answer
    x = 1,535.14

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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.