Home / 1,587.47-2,189.84-1,027.15

Finding the Fourth Proportional to 1,587.47, 2,189.84 and 1,027.15

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Solution

The fourth proportional to 1,587.47, 2,189.84 and 1,027.15 is: 1,416.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.47 : 2,189.84 = 1,027.15 : x
  2. Step 2: Convert to fraction form
    1,587.47/2,189.84 = 1,027.15/x
  3. Step 3: Cross multiply
    1,587.47x = 2,189.84 × 1,027.15
  4. Step 4: Simplify right side
    1,587.47x = 2,249,283.55
  5. Step 5: Solve for x
    x = 2,249,283.55/1,587.47
  6. Step 6: Final answer
    x = 1,416.90

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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.