Home / 1,514.16-2,271.24-474.12

Finding the Fourth Proportional to 1,514.16, 2,271.24 and 474.12

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Solution

The fourth proportional to 1,514.16, 2,271.24 and 474.12 is: 711.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.16 : 2,271.24 = 474.12 : x
  2. Step 2: Convert to fraction form
    1,514.16/2,271.24 = 474.12/x
  3. Step 3: Cross multiply
    1,514.16x = 2,271.24 × 474.12
  4. Step 4: Simplify right side
    1,514.16x = 1,076,840.31
  5. Step 5: Solve for x
    x = 1,076,840.31/1,514.16
  6. Step 6: Final answer
    x = 711.18

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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.