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Finding the Fourth Proportional to 1,587.16, 2,190 and 957.52

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Solution

The fourth proportional to 1,587.16, 2,190 and 957.52 is: 1,321.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.16 : 2,190 = 957.52 : x
  2. Step 2: Convert to fraction form
    1,587.16/2,190 = 957.52/x
  3. Step 3: Cross multiply
    1,587.16x = 2,190 × 957.52
  4. Step 4: Simplify right side
    1,587.16x = 2,096,968.80
  5. Step 5: Solve for x
    x = 2,096,968.80/1,587.16
  6. Step 6: Final answer
    x = 1,321.21

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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.