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Finding the Fourth Proportional to 12,705, 17,532.90 and 7,116.12

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Solution

The fourth proportional to 12,705, 17,532.90 and 7,116.12 is: 9,820.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705 : 17,532.90 = 7,116.12 : x
  2. Step 2: Convert to fraction form
    12,705/17,532.90 = 7,116.12/x
  3. Step 3: Cross multiply
    12,705x = 17,532.90 × 7,116.12
  4. Step 4: Simplify right side
    12,705x = 124,766,220.35
  5. Step 5: Solve for x
    x = 124,766,220.35/12,705
  6. Step 6: Final answer
    x = 9,820.25

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Double scale
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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.