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Finding the Fourth Proportional to 1,724.67, 2,586.60 and 751.50

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Solution

The fourth proportional to 1,724.67, 2,586.60 and 751.50 is: 1,127.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.67 : 2,586.60 = 751.50 : x
  2. Step 2: Convert to fraction form
    1,724.67/2,586.60 = 751.50/x
  3. Step 3: Cross multiply
    1,724.67x = 2,586.60 × 751.50
  4. Step 4: Simplify right side
    1,724.67x = 1,943,829.90
  5. Step 5: Solve for x
    x = 1,943,829.90/1,724.67
  6. Step 6: Final answer
    x = 1,127.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.