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Finding the Fourth Proportional to 7,478.84, 10,313.17 and 5,240.00

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Solution

The fourth proportional to 7,478.84, 10,313.17 and 5,240.00 is: 7,225.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478.84 : 10,313.17 = 5,240.00 : x
  2. Step 2: Convert to fraction form
    7,478.84/10,313.17 = 5,240.00/x
  3. Step 3: Cross multiply
    7,478.84x = 10,313.17 × 5,240.00
  4. Step 4: Simplify right side
    7,478.84x = 54,040,946.13
  5. Step 5: Solve for x
    x = 54,040,946.13/7,478.84
  6. Step 6: Final answer
    x = 7,225.85

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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.