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Finding the Fourth Proportional to 6,312.57, 9,465.71 and 3,680.98

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Solution

The fourth proportional to 6,312.57, 9,465.71 and 3,680.98 is: 5,519.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.57 : 9,465.71 = 3,680.98 : x
  2. Step 2: Convert to fraction form
    6,312.57/9,465.71 = 3,680.98/x
  3. Step 3: Cross multiply
    6,312.57x = 9,465.71 × 3,680.98
  4. Step 4: Simplify right side
    6,312.57x = 34,843,089.20
  5. Step 5: Solve for x
    x = 34,843,089.20/6,312.57
  6. Step 6: Final answer
    x = 5,519.64

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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.