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Finding the Fourth Proportional to 9,313.72, 13,970.70 and 2,740.05

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Solution

The fourth proportional to 9,313.72, 13,970.70 and 2,740.05 is: 4,110.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.72 : 13,970.70 = 2,740.05 : x
  2. Step 2: Convert to fraction form
    9,313.72/13,970.70 = 2,740.05/x
  3. Step 3: Cross multiply
    9,313.72x = 13,970.70 × 2,740.05
  4. Step 4: Simplify right side
    9,313.72x = 38,280,416.54
  5. Step 5: Solve for x
    x = 38,280,416.54/9,313.72
  6. Step 6: Final answer
    x = 4,110.11

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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.