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Finding the Fourth Proportional to 10,188.62, 14,066.43 and 6,657.74

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Solution

The fourth proportional to 10,188.62, 14,066.43 and 6,657.74 is: 9,191.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,188.62 : 14,066.43 = 6,657.74 : x
  2. Step 2: Convert to fraction form
    10,188.62/14,066.43 = 6,657.74/x
  3. Step 3: Cross multiply
    10,188.62x = 14,066.43 × 6,657.74
  4. Step 4: Simplify right side
    10,188.62x = 93,650,633.67
  5. Step 5: Solve for x
    x = 93,650,633.67/10,188.62
  6. Step 6: Final answer
    x = 9,191.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.