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Finding the Fourth Proportional to 2,320.76, 3,196.86 and 1,877.42

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Solution

The fourth proportional to 2,320.76, 3,196.86 and 1,877.42 is: 2,586.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.76 : 3,196.86 = 1,877.42 : x
  2. Step 2: Convert to fraction form
    2,320.76/3,196.86 = 1,877.42/x
  3. Step 3: Cross multiply
    2,320.76x = 3,196.86 × 1,877.42
  4. Step 4: Simplify right side
    2,320.76x = 6,001,848.90
  5. Step 5: Solve for x
    x = 6,001,848.90/2,320.76
  6. Step 6: Final answer
    x = 2,586.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.