Home / 4,031.40-6,044.24-1,564.14

Finding the Fourth Proportional to 4,031.40, 6,044.24 and 1,564.14

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Solution

The fourth proportional to 4,031.40, 6,044.24 and 1,564.14 is: 2,345.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,031.40 : 6,044.24 = 1,564.14 : x
  2. Step 2: Convert to fraction form
    4,031.40/6,044.24 = 1,564.14/x
  3. Step 3: Cross multiply
    4,031.40x = 6,044.24 × 1,564.14
  4. Step 4: Simplify right side
    4,031.40x = 9,454,037.55
  5. Step 5: Solve for x
    x = 9,454,037.55/4,031.40
  6. Step 6: Final answer
    x = 2,345.10

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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.