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Finding the Fourth Proportional to 21,989.67, 32,989.95 and 6,407.25

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Solution

The fourth proportional to 21,989.67, 32,989.95 and 6,407.25 is: 9,612.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,989.67 : 32,989.95 = 6,407.25 : x
  2. Step 2: Convert to fraction form
    21,989.67/32,989.95 = 6,407.25/x
  3. Step 3: Cross multiply
    21,989.67x = 32,989.95 × 6,407.25
  4. Step 4: Simplify right side
    21,989.67x = 211,374,857.14
  5. Step 5: Solve for x
    x = 211,374,857.14/21,989.67
  6. Step 6: Final answer
    x = 9,612.46

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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.