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Finding the Fourth Proportional to 7,204.95, 9,944.78 and 5,640.03

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Solution

The fourth proportional to 7,204.95, 9,944.78 and 5,640.03 is: 7,784.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.95 : 9,944.78 = 5,640.03 : x
  2. Step 2: Convert to fraction form
    7,204.95/9,944.78 = 5,640.03/x
  3. Step 3: Cross multiply
    7,204.95x = 9,944.78 × 5,640.03
  4. Step 4: Simplify right side
    7,204.95x = 56,088,829.34
  5. Step 5: Solve for x
    x = 56,088,829.34/7,204.95
  6. Step 6: Final answer
    x = 7,784.76

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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.