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Finding the Fourth Proportional to 2,315.65, 3,471.75 and 854.53

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Solution

The fourth proportional to 2,315.65, 3,471.75 and 854.53 is: 1,281.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.65 : 3,471.75 = 854.53 : x
  2. Step 2: Convert to fraction form
    2,315.65/3,471.75 = 854.53/x
  3. Step 3: Cross multiply
    2,315.65x = 3,471.75 × 854.53
  4. Step 4: Simplify right side
    2,315.65x = 2,966,714.53
  5. Step 5: Solve for x
    x = 2,966,714.53/2,315.65
  6. Step 6: Final answer
    x = 1,281.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.