Home / 4,642.24-6,964-1,565.12

Finding the Fourth Proportional to 4,642.24, 6,964 and 1,565.12

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Solution

The fourth proportional to 4,642.24, 6,964 and 1,565.12 is: 2,347.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.24 : 6,964 = 1,565.12 : x
  2. Step 2: Convert to fraction form
    4,642.24/6,964 = 1,565.12/x
  3. Step 3: Cross multiply
    4,642.24x = 6,964 × 1,565.12
  4. Step 4: Simplify right side
    4,642.24x = 10,899,495.68
  5. Step 5: Solve for x
    x = 10,899,495.68/4,642.24
  6. Step 6: Final answer
    x = 2,347.90

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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.