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Finding the Fourth Proportional to 7,124.60, 9,835.22 and 5,356.80

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Solution

The fourth proportional to 7,124.60, 9,835.22 and 5,356.80 is: 7,394.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.60 : 9,835.22 = 5,356.80 : x
  2. Step 2: Convert to fraction form
    7,124.60/9,835.22 = 5,356.80/x
  3. Step 3: Cross multiply
    7,124.60x = 9,835.22 × 5,356.80
  4. Step 4: Simplify right side
    7,124.60x = 52,685,306.50
  5. Step 5: Solve for x
    x = 52,685,306.50/7,124.60
  6. Step 6: Final answer
    x = 7,394.84

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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.