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Finding the Fourth Proportional to 6,876.80, 9,480.80 and 5,465.17

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Solution

The fourth proportional to 6,876.80, 9,480.80 and 5,465.17 is: 7,534.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.80 : 9,480.80 = 5,465.17 : x
  2. Step 2: Convert to fraction form
    6,876.80/9,480.80 = 5,465.17/x
  3. Step 3: Cross multiply
    6,876.80x = 9,480.80 × 5,465.17
  4. Step 4: Simplify right side
    6,876.80x = 51,814,178.51
  5. Step 5: Solve for x
    x = 51,814,178.51/6,876.80
  6. Step 6: Final answer
    x = 7,534.64

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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.