Home / 1,587.08-2,190.23-869.31

Finding the Fourth Proportional to 1,587.08, 2,190.23 and 869.31

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Solution

The fourth proportional to 1,587.08, 2,190.23 and 869.31 is: 1,199.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.08 : 2,190.23 = 869.31 : x
  2. Step 2: Convert to fraction form
    1,587.08/2,190.23 = 869.31/x
  3. Step 3: Cross multiply
    1,587.08x = 2,190.23 × 869.31
  4. Step 4: Simplify right side
    1,587.08x = 1,903,988.84
  5. Step 5: Solve for x
    x = 1,903,988.84/1,587.08
  6. Step 6: Final answer
    x = 1,199.68

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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.