Home / 2,415.24-3,622.08-771.40

Finding the Fourth Proportional to 2,415.24, 3,622.08 and 771.40

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Solution

The fourth proportional to 2,415.24, 3,622.08 and 771.40 is: 1,156.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.24 : 3,622.08 = 771.40 : x
  2. Step 2: Convert to fraction form
    2,415.24/3,622.08 = 771.40/x
  3. Step 3: Cross multiply
    2,415.24x = 3,622.08 × 771.40
  4. Step 4: Simplify right side
    2,415.24x = 2,794,066.49
  5. Step 5: Solve for x
    x = 2,794,066.49/2,415.24
  6. Step 6: Final answer
    x = 1,156.85

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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.