Home / 9,714.32-14,574-2,789.36

Finding the Fourth Proportional to 9,714.32, 14,574 and 2,789.36

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Solution

The fourth proportional to 9,714.32, 14,574 and 2,789.36 is: 4,184.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.32 : 14,574 = 2,789.36 : x
  2. Step 2: Convert to fraction form
    9,714.32/14,574 = 2,789.36/x
  3. Step 3: Cross multiply
    9,714.32x = 14,574 × 2,789.36
  4. Step 4: Simplify right side
    9,714.32x = 40,652,132.64
  5. Step 5: Solve for x
    x = 40,652,132.64/9,714.32
  6. Step 6: Final answer
    x = 4,184.76

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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.