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Finding the Fourth Proportional to 12,859.84, 17,746.92 and 7,194.40

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Solution

The fourth proportional to 12,859.84, 17,746.92 and 7,194.40 is: 9,928.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,859.84 : 17,746.92 = 7,194.40 : x
  2. Step 2: Convert to fraction form
    12,859.84/17,746.92 = 7,194.40/x
  3. Step 3: Cross multiply
    12,859.84x = 17,746.92 × 7,194.40
  4. Step 4: Simplify right side
    12,859.84x = 127,678,441.25
  5. Step 5: Solve for x
    x = 127,678,441.25/12,859.84
  6. Step 6: Final answer
    x = 9,928.46

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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.