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Finding the Fourth Proportional to 12,957.75, 17,883.86 and 9,808.47

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Solution

The fourth proportional to 12,957.75, 17,883.86 and 9,808.47 is: 13,537.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,957.75 : 17,883.86 = 9,808.47 : x
  2. Step 2: Convert to fraction form
    12,957.75/17,883.86 = 9,808.47/x
  3. Step 3: Cross multiply
    12,957.75x = 17,883.86 × 9,808.47
  4. Step 4: Simplify right side
    12,957.75x = 175,413,255.25
  5. Step 5: Solve for x
    x = 175,413,255.25/12,957.75
  6. Step 6: Final answer
    x = 13,537.32

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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.