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Finding the Fourth Proportional to 8,983, 12,397.38 and 5,257

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Solution

The fourth proportional to 8,983, 12,397.38 and 5,257 is: 7,255.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,983 : 12,397.38 = 5,257 : x
  2. Step 2: Convert to fraction form
    8,983/12,397.38 = 5,257/x
  3. Step 3: Cross multiply
    8,983x = 12,397.38 × 5,257
  4. Step 4: Simplify right side
    8,983x = 65,173,026.66
  5. Step 5: Solve for x
    x = 65,173,026.66/8,983
  6. Step 6: Final answer
    x = 7,255.15

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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.