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Finding the Fourth Proportional to 7,828.57, 10,803.03 and 4,425.49

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Solution

The fourth proportional to 7,828.57, 10,803.03 and 4,425.49 is: 6,106.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.57 : 10,803.03 = 4,425.49 : x
  2. Step 2: Convert to fraction form
    7,828.57/10,803.03 = 4,425.49/x
  3. Step 3: Cross multiply
    7,828.57x = 10,803.03 × 4,425.49
  4. Step 4: Simplify right side
    7,828.57x = 47,808,647.22
  5. Step 5: Solve for x
    x = 47,808,647.22/7,828.57
  6. Step 6: Final answer
    x = 6,106.95

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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.