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Finding the Fourth Proportional to 12,962.52, 17,894.34 and 8,486.46

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Solution

The fourth proportional to 12,962.52, 17,894.34 and 8,486.46 is: 11,715.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,962.52 : 17,894.34 = 8,486.46 : x
  2. Step 2: Convert to fraction form
    12,962.52/17,894.34 = 8,486.46/x
  3. Step 3: Cross multiply
    12,962.52x = 17,894.34 × 8,486.46
  4. Step 4: Simplify right side
    12,962.52x = 151,859,600.64
  5. Step 5: Solve for x
    x = 151,859,600.64/12,962.52
  6. Step 6: Final answer
    x = 11,715.28

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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.