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Finding the Fourth Proportional to 6,315.71, 9,476.93 and 2,809.22

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Solution

The fourth proportional to 6,315.71, 9,476.93 and 2,809.22 is: 4,215.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.71 : 9,476.93 = 2,809.22 : x
  2. Step 2: Convert to fraction form
    6,315.71/9,476.93 = 2,809.22/x
  3. Step 3: Cross multiply
    6,315.71x = 9,476.93 × 2,809.22
  4. Step 4: Simplify right side
    6,315.71x = 26,622,719.86
  5. Step 5: Solve for x
    x = 26,622,719.86/6,315.71
  6. Step 6: Final answer
    x = 4,215.32

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1.5x scale

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.