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Finding the Fourth Proportional to 7,878.12, 10,792.98 and 7,582.68

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Solution

The fourth proportional to 7,878.12, 10,792.98 and 7,582.68 is: 10,388.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.12 : 10,792.98 = 7,582.68 : x
  2. Step 2: Convert to fraction form
    7,878.12/10,792.98 = 7,582.68/x
  3. Step 3: Cross multiply
    7,878.12x = 10,792.98 × 7,582.68
  4. Step 4: Simplify right side
    7,878.12x = 81,839,713.59
  5. Step 5: Solve for x
    x = 81,839,713.59/7,878.12
  6. Step 6: Final answer
    x = 10,388.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.