Home / 1,586.40-2,189.23-887.78

Finding the Fourth Proportional to 1,586.40, 2,189.23 and 887.78

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Solution

The fourth proportional to 1,586.40, 2,189.23 and 887.78 is: 1,225.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.40 : 2,189.23 = 887.78 : x
  2. Step 2: Convert to fraction form
    1,586.40/2,189.23 = 887.78/x
  3. Step 3: Cross multiply
    1,586.40x = 2,189.23 × 887.78
  4. Step 4: Simplify right side
    1,586.40x = 1,943,554.61
  5. Step 5: Solve for x
    x = 1,943,554.61/1,586.40
  6. Step 6: Final answer
    x = 1,225.14

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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.