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Finding the Fourth Proportional to 9,002.32, 13,438.34 and 7,777.60

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Solution

The fourth proportional to 9,002.32, 13,438.34 and 7,777.60 is: 11,610.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002.32 : 13,438.34 = 7,777.60 : x
  2. Step 2: Convert to fraction form
    9,002.32/13,438.34 = 7,777.60/x
  3. Step 3: Cross multiply
    9,002.32x = 13,438.34 × 7,777.60
  4. Step 4: Simplify right side
    9,002.32x = 104,518,033.18
  5. Step 5: Solve for x
    x = 104,518,033.18/9,002.32
  6. Step 6: Final answer
    x = 11,610.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.