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Finding the Fourth Proportional to 1,356.92, 1,871.43 and 1,140.51

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Solution

The fourth proportional to 1,356.92, 1,871.43 and 1,140.51 is: 1,572.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.92 : 1,871.43 = 1,140.51 : x
  2. Step 2: Convert to fraction form
    1,356.92/1,871.43 = 1,140.51/x
  3. Step 3: Cross multiply
    1,356.92x = 1,871.43 × 1,140.51
  4. Step 4: Simplify right side
    1,356.92x = 2,134,378.93
  5. Step 5: Solve for x
    x = 2,134,378.93/1,356.92
  6. Step 6: Final answer
    x = 1,572.96

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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.