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Finding the Fourth Proportional to 1,915.47, 2,870.53 and 872.92

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Solution

The fourth proportional to 1,915.47, 2,870.53 and 872.92 is: 1,308.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915.47 : 2,870.53 = 872.92 : x
  2. Step 2: Convert to fraction form
    1,915.47/2,870.53 = 872.92/x
  3. Step 3: Cross multiply
    1,915.47x = 2,870.53 × 872.92
  4. Step 4: Simplify right side
    1,915.47x = 2,505,743.05
  5. Step 5: Solve for x
    x = 2,505,743.05/1,915.47
  6. Step 6: Final answer
    x = 1,308.16

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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.