Home / 7,778.16-10,735.20-7,428.24

Finding the Fourth Proportional to 7,778.16, 10,735.20 and 7,428.24

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Solution

The fourth proportional to 7,778.16, 10,735.20 and 7,428.24 is: 10,252.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.16 : 10,735.20 = 7,428.24 : x
  2. Step 2: Convert to fraction form
    7,778.16/10,735.20 = 7,428.24/x
  3. Step 3: Cross multiply
    7,778.16x = 10,735.20 × 7,428.24
  4. Step 4: Simplify right side
    7,778.16x = 79,743,642.05
  5. Step 5: Solve for x
    x = 79,743,642.05/7,778.16
  6. Step 6: Final answer
    x = 10,252.25

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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.