Home / 7,122.51-9,829-4,140.09

Finding the Fourth Proportional to 7,122.51, 9,829 and 4,140.09

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Solution

The fourth proportional to 7,122.51, 9,829 and 4,140.09 is: 5,713.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.51 : 9,829 = 4,140.09 : x
  2. Step 2: Convert to fraction form
    7,122.51/9,829 = 4,140.09/x
  3. Step 3: Cross multiply
    7,122.51x = 9,829 × 4,140.09
  4. Step 4: Simplify right side
    7,122.51x = 40,692,944.61
  5. Step 5: Solve for x
    x = 40,692,944.61/7,122.51
  6. Step 6: Final answer
    x = 5,713.29

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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.