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Finding the Fourth Proportional to 7,607.70, 11,412.62 and 3,448.76

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Solution

The fourth proportional to 7,607.70, 11,412.62 and 3,448.76 is: 5,173.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,607.70 : 11,412.62 = 3,448.76 : x
  2. Step 2: Convert to fraction form
    7,607.70/11,412.62 = 3,448.76/x
  3. Step 3: Cross multiply
    7,607.70x = 11,412.62 × 3,448.76
  4. Step 4: Simplify right side
    7,607.70x = 39,359,313.04
  5. Step 5: Solve for x
    x = 39,359,313.04/7,607.70
  6. Step 6: Final answer
    x = 5,173.62

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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.