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Finding the Fourth Proportional to 4,807.16, 7,211.50 and 1,687.10

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Solution

The fourth proportional to 4,807.16, 7,211.50 and 1,687.10 is: 2,530.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807.16 : 7,211.50 = 1,687.10 : x
  2. Step 2: Convert to fraction form
    4,807.16/7,211.50 = 1,687.10/x
  3. Step 3: Cross multiply
    4,807.16x = 7,211.50 × 1,687.10
  4. Step 4: Simplify right side
    4,807.16x = 12,166,521.65
  5. Step 5: Solve for x
    x = 12,166,521.65/4,807.16
  6. Step 6: Final answer
    x = 2,530.92

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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.