Home / 5,842-8,762.50-2,144.08

Finding the Fourth Proportional to 5,842, 8,762.50 and 2,144.08

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Solution

The fourth proportional to 5,842, 8,762.50 and 2,144.08 is: 3,215.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842 : 8,762.50 = 2,144.08 : x
  2. Step 2: Convert to fraction form
    5,842/8,762.50 = 2,144.08/x
  3. Step 3: Cross multiply
    5,842x = 8,762.50 × 2,144.08
  4. Step 4: Simplify right side
    5,842x = 18,787,501
  5. Step 5: Solve for x
    x = 18,787,501/5,842
  6. Step 6: Final answer
    x = 3,215.94

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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.