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Finding the Fourth Proportional to 7,885.12, 10,802.56 and 7,589.68

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Solution

The fourth proportional to 7,885.12, 10,802.56 and 7,589.68 is: 10,397.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,885.12 : 10,802.56 = 7,589.68 : x
  2. Step 2: Convert to fraction form
    7,885.12/10,802.56 = 7,589.68/x
  3. Step 3: Cross multiply
    7,885.12x = 10,802.56 × 7,589.68
  4. Step 4: Simplify right side
    7,885.12x = 81,987,973.58
  5. Step 5: Solve for x
    x = 81,987,973.58/7,885.12
  6. Step 6: Final answer
    x = 10,397.81

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Double scale
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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.