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Finding the Fourth Proportional to 11,360.48, 15,668.52 and 7,822.40

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Solution

The fourth proportional to 11,360.48, 15,668.52 and 7,822.40 is: 10,788.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,360.48 : 15,668.52 = 7,822.40 : x
  2. Step 2: Convert to fraction form
    11,360.48/15,668.52 = 7,822.40/x
  3. Step 3: Cross multiply
    11,360.48x = 15,668.52 × 7,822.40
  4. Step 4: Simplify right side
    11,360.48x = 122,565,430.85
  5. Step 5: Solve for x
    x = 122,565,430.85/11,360.48
  6. Step 6: Final answer
    x = 10,788.75

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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.