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Finding the Fourth Proportional to 9,219.60, 13,812.60 and 5,312.40

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Solution

The fourth proportional to 9,219.60, 13,812.60 and 5,312.40 is: 7,958.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,219.60 : 13,812.60 = 5,312.40 : x
  2. Step 2: Convert to fraction form
    9,219.60/13,812.60 = 5,312.40/x
  3. Step 3: Cross multiply
    9,219.60x = 13,812.60 × 5,312.40
  4. Step 4: Simplify right side
    9,219.60x = 73,378,056.24
  5. Step 5: Solve for x
    x = 73,378,056.24/9,219.60
  6. Step 6: Final answer
    x = 7,958.92

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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.