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Finding the Fourth Proportional to 4,686.71, 6,465.96 and 2,869.11

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Solution

The fourth proportional to 4,686.71, 6,465.96 and 2,869.11 is: 3,958.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.71 : 6,465.96 = 2,869.11 : x
  2. Step 2: Convert to fraction form
    4,686.71/6,465.96 = 2,869.11/x
  3. Step 3: Cross multiply
    4,686.71x = 6,465.96 × 2,869.11
  4. Step 4: Simplify right side
    4,686.71x = 18,551,550.50
  5. Step 5: Solve for x
    x = 18,551,550.50/4,686.71
  6. Step 6: Final answer
    x = 3,958.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.