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Finding the Fourth Proportional to 7,878.33, 10,859.54 and 7,722.81

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Solution

The fourth proportional to 7,878.33, 10,859.54 and 7,722.81 is: 10,645.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.33 : 10,859.54 = 7,722.81 : x
  2. Step 2: Convert to fraction form
    7,878.33/10,859.54 = 7,722.81/x
  3. Step 3: Cross multiply
    7,878.33x = 10,859.54 × 7,722.81
  4. Step 4: Simplify right side
    7,878.33x = 83,866,125.49
  5. Step 5: Solve for x
    x = 83,866,125.49/7,878.33
  6. Step 6: Final answer
    x = 10,645.17

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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.