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Finding the Fourth Proportional to 8,984.88, 12,398.31 and 5,802.80

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Solution

The fourth proportional to 8,984.88, 12,398.31 and 5,802.80 is: 8,007.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,984.88 : 12,398.31 = 5,802.80 : x
  2. Step 2: Convert to fraction form
    8,984.88/12,398.31 = 5,802.80/x
  3. Step 3: Cross multiply
    8,984.88x = 12,398.31 × 5,802.80
  4. Step 4: Simplify right side
    8,984.88x = 71,944,851.28
  5. Step 5: Solve for x
    x = 71,944,851.28/8,984.88
  6. Step 6: Final answer
    x = 8,007.32

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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.