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Finding the Fourth Proportional to 3,510, 5,261.76 and 1,317.24

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Solution

The fourth proportional to 3,510, 5,261.76 and 1,317.24 is: 1,974.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,510 : 5,261.76 = 1,317.24 : x
  2. Step 2: Convert to fraction form
    3,510/5,261.76 = 1,317.24/x
  3. Step 3: Cross multiply
    3,510x = 5,261.76 × 1,317.24
  4. Step 4: Simplify right side
    3,510x = 6,931,000.74
  5. Step 5: Solve for x
    x = 6,931,000.74/3,510
  6. Step 6: Final answer
    x = 1,974.64

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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.