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Finding the Fourth Proportional to 5,830, 8,746.48 and 1,726

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Solution

The fourth proportional to 5,830, 8,746.48 and 1,726 is: 2,589.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830 : 8,746.48 = 1,726 : x
  2. Step 2: Convert to fraction form
    5,830/8,746.48 = 1,726/x
  3. Step 3: Cross multiply
    5,830x = 8,746.48 × 1,726
  4. Step 4: Simplify right side
    5,830x = 15,096,424.48
  5. Step 5: Solve for x
    x = 15,096,424.48/5,830
  6. Step 6: Final answer
    x = 2,589.44

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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.