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Finding the Fourth Proportional to 7,841.12, 11,804.47 and 7,152.22

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Solution

The fourth proportional to 7,841.12, 11,804.47 and 7,152.22 is: 10,767.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.12 : 11,804.47 = 7,152.22 : x
  2. Step 2: Convert to fraction form
    7,841.12/11,804.47 = 7,152.22/x
  3. Step 3: Cross multiply
    7,841.12x = 11,804.47 × 7,152.22
  4. Step 4: Simplify right side
    7,841.12x = 84,428,166.42
  5. Step 5: Solve for x
    x = 84,428,166.42/7,841.12
  6. Step 6: Final answer
    x = 10,767.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.