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Finding the Fourth Proportional to 11,902.14, 17,802.18 and 8,577.90

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Solution

The fourth proportional to 11,902.14, 17,802.18 and 8,577.90 is: 12,830.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.14 : 17,802.18 = 8,577.90 : x
  2. Step 2: Convert to fraction form
    11,902.14/17,802.18 = 8,577.90/x
  3. Step 3: Cross multiply
    11,902.14x = 17,802.18 × 8,577.90
  4. Step 4: Simplify right side
    11,902.14x = 152,705,319.82
  5. Step 5: Solve for x
    x = 152,705,319.82/11,902.14
  6. Step 6: Final answer
    x = 12,830.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.