Home / 6,949.56-10,417-2,564.20

Finding the Fourth Proportional to 6,949.56, 10,417 and 2,564.20

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Solution

The fourth proportional to 6,949.56, 10,417 and 2,564.20 is: 3,843.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,949.56 : 10,417 = 2,564.20 : x
  2. Step 2: Convert to fraction form
    6,949.56/10,417 = 2,564.20/x
  3. Step 3: Cross multiply
    6,949.56x = 10,417 × 2,564.20
  4. Step 4: Simplify right side
    6,949.56x = 26,711,271.40
  5. Step 5: Solve for x
    x = 26,711,271.40/6,949.56
  6. Step 6: Final answer
    x = 3,843.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.