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Finding the Fourth Proportional to 7,773.70, 11,662.89 and 4,657.18

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Solution

The fourth proportional to 7,773.70, 11,662.89 and 4,657.18 is: 6,987.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.70 : 11,662.89 = 4,657.18 : x
  2. Step 2: Convert to fraction form
    7,773.70/11,662.89 = 4,657.18/x
  3. Step 3: Cross multiply
    7,773.70x = 11,662.89 × 4,657.18
  4. Step 4: Simplify right side
    7,773.70x = 54,316,178.05
  5. Step 5: Solve for x
    x = 54,316,178.05/7,773.70
  6. Step 6: Final answer
    x = 6,987.17

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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.