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Finding the Fourth Proportional to 1,859.76, 2,565.32 and 1,187.56

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Solution

The fourth proportional to 1,859.76, 2,565.32 and 1,187.56 is: 1,638.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.76 : 2,565.32 = 1,187.56 : x
  2. Step 2: Convert to fraction form
    1,859.76/2,565.32 = 1,187.56/x
  3. Step 3: Cross multiply
    1,859.76x = 2,565.32 × 1,187.56
  4. Step 4: Simplify right side
    1,859.76x = 3,046,475.37
  5. Step 5: Solve for x
    x = 3,046,475.37/1,859.76
  6. Step 6: Final answer
    x = 1,638.10

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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.