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Finding the Fourth Proportional to 7,781.80, 10,742.34 and 4,639.08

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Solution

The fourth proportional to 7,781.80, 10,742.34 and 4,639.08 is: 6,403.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.80 : 10,742.34 = 4,639.08 : x
  2. Step 2: Convert to fraction form
    7,781.80/10,742.34 = 4,639.08/x
  3. Step 3: Cross multiply
    7,781.80x = 10,742.34 × 4,639.08
  4. Step 4: Simplify right side
    7,781.80x = 49,834,574.65
  5. Step 5: Solve for x
    x = 49,834,574.65/7,781.80
  6. Step 6: Final answer
    x = 6,403.99

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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.