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Finding the Fourth Proportional to 9,488.40, 13,107.60 and 9,099.60

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Solution

The fourth proportional to 9,488.40, 13,107.60 and 9,099.60 is: 12,570.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.40 : 13,107.60 = 9,099.60 : x
  2. Step 2: Convert to fraction form
    9,488.40/13,107.60 = 9,099.60/x
  3. Step 3: Cross multiply
    9,488.40x = 13,107.60 × 9,099.60
  4. Step 4: Simplify right side
    9,488.40x = 119,273,916.96
  5. Step 5: Solve for x
    x = 119,273,916.96/9,488.40
  6. Step 6: Final answer
    x = 12,570.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.