Home / 1,524.88-2,270.63-1,506.40

Finding the Fourth Proportional to 1,524.88, 2,270.63 and 1,506.40

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Solution

The fourth proportional to 1,524.88, 2,270.63 and 1,506.40 is: 2,243.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.88 : 2,270.63 = 1,506.40 : x
  2. Step 2: Convert to fraction form
    1,524.88/2,270.63 = 1,506.40/x
  3. Step 3: Cross multiply
    1,524.88x = 2,270.63 × 1,506.40
  4. Step 4: Simplify right side
    1,524.88x = 3,420,475.12
  5. Step 5: Solve for x
    x = 3,420,475.12/1,524.88
  6. Step 6: Final answer
    x = 2,243.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.