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Finding the Fourth Proportional to 7,604.70, 10,487.93 and 7,161.84

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Solution

The fourth proportional to 7,604.70, 10,487.93 and 7,161.84 is: 9,877.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,604.70 : 10,487.93 = 7,161.84 : x
  2. Step 2: Convert to fraction form
    7,604.70/10,487.93 = 7,161.84/x
  3. Step 3: Cross multiply
    7,604.70x = 10,487.93 × 7,161.84
  4. Step 4: Simplify right side
    7,604.70x = 75,112,840.78
  5. Step 5: Solve for x
    x = 75,112,840.78/7,604.70
  6. Step 6: Final answer
    x = 9,877.16

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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.