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Finding the Fourth Proportional to 6,421.84, 9,643.74 and 3,971.14

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Solution

The fourth proportional to 6,421.84, 9,643.74 and 3,971.14 is: 5,963.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421.84 : 9,643.74 = 3,971.14 : x
  2. Step 2: Convert to fraction form
    6,421.84/9,643.74 = 3,971.14/x
  3. Step 3: Cross multiply
    6,421.84x = 9,643.74 × 3,971.14
  4. Step 4: Simplify right side
    6,421.84x = 38,296,641.66
  5. Step 5: Solve for x
    x = 38,296,641.66/6,421.84
  6. Step 6: Final answer
    x = 5,963.50

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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.