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Finding the Fourth Proportional to 9,515.76, 13,132.20 and 5,323.68

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Solution

The fourth proportional to 9,515.76, 13,132.20 and 5,323.68 is: 7,346.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,515.76 : 13,132.20 = 5,323.68 : x
  2. Step 2: Convert to fraction form
    9,515.76/13,132.20 = 5,323.68/x
  3. Step 3: Cross multiply
    9,515.76x = 13,132.20 × 5,323.68
  4. Step 4: Simplify right side
    9,515.76x = 69,911,630.50
  5. Step 5: Solve for x
    x = 69,911,630.50/9,515.76
  6. Step 6: Final answer
    x = 7,346.93

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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.