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Finding the Fourth Proportional to 12,612.84, 17,405.44 and 6,947.29

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Solution

The fourth proportional to 12,612.84, 17,405.44 and 6,947.29 is: 9,587.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,612.84 : 17,405.44 = 6,947.29 : x
  2. Step 2: Convert to fraction form
    12,612.84/17,405.44 = 6,947.29/x
  3. Step 3: Cross multiply
    12,612.84x = 17,405.44 × 6,947.29
  4. Step 4: Simplify right side
    12,612.84x = 120,920,639.26
  5. Step 5: Solve for x
    x = 120,920,639.26/12,612.84
  6. Step 6: Final answer
    x = 9,587.11

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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.