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Finding the Fourth Proportional to 7,840.48, 11,764.01 and 4,881.40

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Solution

The fourth proportional to 7,840.48, 11,764.01 and 4,881.40 is: 7,324.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.48 : 11,764.01 = 4,881.40 : x
  2. Step 2: Convert to fraction form
    7,840.48/11,764.01 = 4,881.40/x
  3. Step 3: Cross multiply
    7,840.48x = 11,764.01 × 4,881.40
  4. Step 4: Simplify right side
    7,840.48x = 57,424,784.60
  5. Step 5: Solve for x
    x = 57,424,784.60/7,840.48
  6. Step 6: Final answer
    x = 7,324.14

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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.