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Finding the Fourth Proportional to 6,984.74, 9,637.89 and 4,152.17

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Solution

The fourth proportional to 6,984.74, 9,637.89 and 4,152.17 is: 5,729.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.74 : 9,637.89 = 4,152.17 : x
  2. Step 2: Convert to fraction form
    6,984.74/9,637.89 = 4,152.17/x
  3. Step 3: Cross multiply
    6,984.74x = 9,637.89 × 4,152.17
  4. Step 4: Simplify right side
    6,984.74x = 40,018,109.53
  5. Step 5: Solve for x
    x = 40,018,109.53/6,984.74
  6. Step 6: Final answer
    x = 5,729.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.