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Finding the Fourth Proportional to 6,147.60, 9,226.80 and 4,916.40

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Solution

The fourth proportional to 6,147.60, 9,226.80 and 4,916.40 is: 7,378.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.60 : 9,226.80 = 4,916.40 : x
  2. Step 2: Convert to fraction form
    6,147.60/9,226.80 = 4,916.40/x
  3. Step 3: Cross multiply
    6,147.60x = 9,226.80 × 4,916.40
  4. Step 4: Simplify right side
    6,147.60x = 45,362,639.52
  5. Step 5: Solve for x
    x = 45,362,639.52/6,147.60
  6. Step 6: Final answer
    x = 7,378.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.