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Finding the Fourth Proportional to 12,927.11, 17,838.80 and 7,549.82

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Solution

The fourth proportional to 12,927.11, 17,838.80 and 7,549.82 is: 10,418.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,927.11 : 17,838.80 = 7,549.82 : x
  2. Step 2: Convert to fraction form
    12,927.11/17,838.80 = 7,549.82/x
  3. Step 3: Cross multiply
    12,927.11x = 17,838.80 × 7,549.82
  4. Step 4: Simplify right side
    12,927.11x = 134,679,602.07
  5. Step 5: Solve for x
    x = 134,679,602.07/12,927.11
  6. Step 6: Final answer
    x = 10,418.39

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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.