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Finding the Fourth Proportional to 1,587.55, 2,190.95 and 879.62

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Solution

The fourth proportional to 1,587.55, 2,190.95 and 879.62 is: 1,213.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.55 : 2,190.95 = 879.62 : x
  2. Step 2: Convert to fraction form
    1,587.55/2,190.95 = 879.62/x
  3. Step 3: Cross multiply
    1,587.55x = 2,190.95 × 879.62
  4. Step 4: Simplify right side
    1,587.55x = 1,927,188.09
  5. Step 5: Solve for x
    x = 1,927,188.09/1,587.55
  6. Step 6: Final answer
    x = 1,213.94

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1.5x scale

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.