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Finding the Fourth Proportional to 4,806.16, 7,210 and 1,686.10

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Solution

The fourth proportional to 4,806.16, 7,210 and 1,686.10 is: 2,529.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.16 : 7,210 = 1,686.10 : x
  2. Step 2: Convert to fraction form
    4,806.16/7,210 = 1,686.10/x
  3. Step 3: Cross multiply
    4,806.16x = 7,210 × 1,686.10
  4. Step 4: Simplify right side
    4,806.16x = 12,156,781
  5. Step 5: Solve for x
    x = 12,156,781/4,806.16
  6. Step 6: Final answer
    x = 2,529.42

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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.