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Finding the Fourth Proportional to 7,064.10, 9,748.50 and 3,920.49

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Solution

The fourth proportional to 7,064.10, 9,748.50 and 3,920.49 is: 5,410.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.10 : 9,748.50 = 3,920.49 : x
  2. Step 2: Convert to fraction form
    7,064.10/9,748.50 = 3,920.49/x
  3. Step 3: Cross multiply
    7,064.10x = 9,748.50 × 3,920.49
  4. Step 4: Simplify right side
    7,064.10x = 38,218,896.77
  5. Step 5: Solve for x
    x = 38,218,896.77/7,064.10
  6. Step 6: Final answer
    x = 5,410.30

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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.