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Finding the Fourth Proportional to 6,465.79, 9,690.59 and 2,763.69

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Solution

The fourth proportional to 6,465.79, 9,690.59 and 2,763.69 is: 4,142.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.79 : 9,690.59 = 2,763.69 : x
  2. Step 2: Convert to fraction form
    6,465.79/9,690.59 = 2,763.69/x
  3. Step 3: Cross multiply
    6,465.79x = 9,690.59 × 2,763.69
  4. Step 4: Simplify right side
    6,465.79x = 26,781,741.70
  5. Step 5: Solve for x
    x = 26,781,741.70/6,465.79
  6. Step 6: Final answer
    x = 4,142.07

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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.