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Finding the Fourth Proportional to 4,807, 7,211.17 and 1,686.28

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Solution

The fourth proportional to 4,807, 7,211.17 and 1,686.28 is: 2,529.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807 : 7,211.17 = 1,686.28 : x
  2. Step 2: Convert to fraction form
    4,807/7,211.17 = 1,686.28/x
  3. Step 3: Cross multiply
    4,807x = 7,211.17 × 1,686.28
  4. Step 4: Simplify right side
    4,807x = 12,160,051.75
  5. Step 5: Solve for x
    x = 12,160,051.75/4,807
  6. Step 6: Final answer
    x = 2,529.66

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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.