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Finding the Fourth Proportional to 12,957, 17,881.20 and 7,656.36

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Solution

The fourth proportional to 12,957, 17,881.20 and 7,656.36 is: 10,566.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,957 : 17,881.20 = 7,656.36 : x
  2. Step 2: Convert to fraction form
    12,957/17,881.20 = 7,656.36/x
  3. Step 3: Cross multiply
    12,957x = 17,881.20 × 7,656.36
  4. Step 4: Simplify right side
    12,957x = 136,904,904.43
  5. Step 5: Solve for x
    x = 136,904,904.43/12,957
  6. Step 6: Final answer
    x = 10,566.10

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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.