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Finding the Fourth Proportional to 9,393.78, 12,962.37 and 5,200.98

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Solution

The fourth proportional to 9,393.78, 12,962.37 and 5,200.98 is: 7,176.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,393.78 : 12,962.37 = 5,200.98 : x
  2. Step 2: Convert to fraction form
    9,393.78/12,962.37 = 5,200.98/x
  3. Step 3: Cross multiply
    9,393.78x = 12,962.37 × 5,200.98
  4. Step 4: Simplify right side
    9,393.78x = 67,417,027.12
  5. Step 5: Solve for x
    x = 67,417,027.12/9,393.78
  6. Step 6: Final answer
    x = 7,176.77

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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.