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Finding the Fourth Proportional to 1,587.90, 2,191.35 and 879.81

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Solution

The fourth proportional to 1,587.90, 2,191.35 and 879.81 is: 1,214.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.90 : 2,191.35 = 879.81 : x
  2. Step 2: Convert to fraction form
    1,587.90/2,191.35 = 879.81/x
  3. Step 3: Cross multiply
    1,587.90x = 2,191.35 × 879.81
  4. Step 4: Simplify right side
    1,587.90x = 1,927,971.64
  5. Step 5: Solve for x
    x = 1,927,971.64/1,587.90
  6. Step 6: Final answer
    x = 1,214.16

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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.