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Finding the Fourth Proportional to 4,806.72, 7,210.42 and 1,686.36

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Solution

The fourth proportional to 4,806.72, 7,210.42 and 1,686.36 is: 2,529.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.72 : 7,210.42 = 1,686.36 : x
  2. Step 2: Convert to fraction form
    4,806.72/7,210.42 = 1,686.36/x
  3. Step 3: Cross multiply
    4,806.72x = 7,210.42 × 1,686.36
  4. Step 4: Simplify right side
    4,806.72x = 12,159,363.87
  5. Step 5: Solve for x
    x = 12,159,363.87/4,806.72
  6. Step 6: Final answer
    x = 2,529.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.