Home / 5,726-8,590.23-1,777.18

Finding the Fourth Proportional to 5,726, 8,590.23 and 1,777.18

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Solution

The fourth proportional to 5,726, 8,590.23 and 1,777.18 is: 2,666.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726 : 8,590.23 = 1,777.18 : x
  2. Step 2: Convert to fraction form
    5,726/8,590.23 = 1,777.18/x
  3. Step 3: Cross multiply
    5,726x = 8,590.23 × 1,777.18
  4. Step 4: Simplify right side
    5,726x = 15,266,333.11
  5. Step 5: Solve for x
    x = 15,266,333.11/5,726
  6. Step 6: Final answer
    x = 2,666.14

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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.