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Finding the Fourth Proportional to 8,378.40, 12,567.60 and 7,125.60

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Solution

The fourth proportional to 8,378.40, 12,567.60 and 7,125.60 is: 10,688.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.40 : 12,567.60 = 7,125.60 : x
  2. Step 2: Convert to fraction form
    8,378.40/12,567.60 = 7,125.60/x
  3. Step 3: Cross multiply
    8,378.40x = 12,567.60 × 7,125.60
  4. Step 4: Simplify right side
    8,378.40x = 89,551,690.56
  5. Step 5: Solve for x
    x = 89,551,690.56/8,378.40
  6. Step 6: Final answer
    x = 10,688.40

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1.5x scale

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.