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Finding the Fourth Proportional to 7,979.16, 10,987.47 and 7,802.14

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Solution

The fourth proportional to 7,979.16, 10,987.47 and 7,802.14 is: 10,743.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,979.16 : 10,987.47 = 7,802.14 : x
  2. Step 2: Convert to fraction form
    7,979.16/10,987.47 = 7,802.14/x
  3. Step 3: Cross multiply
    7,979.16x = 10,987.47 × 7,802.14
  4. Step 4: Simplify right side
    7,979.16x = 85,725,840.62
  5. Step 5: Solve for x
    x = 85,725,840.62/7,979.16
  6. Step 6: Final answer
    x = 10,743.71

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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.