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Finding the Fourth Proportional to 12,394.84, 17,111.54 and 9,556

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Solution

The fourth proportional to 12,394.84, 17,111.54 and 9,556 is: 13,192.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,394.84 : 17,111.54 = 9,556 : x
  2. Step 2: Convert to fraction form
    12,394.84/17,111.54 = 9,556/x
  3. Step 3: Cross multiply
    12,394.84x = 17,111.54 × 9,556
  4. Step 4: Simplify right side
    12,394.84x = 163,517,876.24
  5. Step 5: Solve for x
    x = 163,517,876.24/12,394.84
  6. Step 6: Final answer
    x = 13,192.42

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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.