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Finding the Fourth Proportional to 7,122.99, 9,829 and 4,139.46

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Solution

The fourth proportional to 7,122.99, 9,829 and 4,139.46 is: 5,712.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.99 : 9,829 = 4,139.46 : x
  2. Step 2: Convert to fraction form
    7,122.99/9,829 = 4,139.46/x
  3. Step 3: Cross multiply
    7,122.99x = 9,829 × 4,139.46
  4. Step 4: Simplify right side
    7,122.99x = 40,686,752.34
  5. Step 5: Solve for x
    x = 40,686,752.34/7,122.99
  6. Step 6: Final answer
    x = 5,712.03

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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.