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Finding the Fourth Proportional to 21,407.94, 32,114.94 and 6,618.15

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Solution

The fourth proportional to 21,407.94, 32,114.94 and 6,618.15 is: 9,928.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,407.94 : 32,114.94 = 6,618.15 : x
  2. Step 2: Convert to fraction form
    21,407.94/32,114.94 = 6,618.15/x
  3. Step 3: Cross multiply
    21,407.94x = 32,114.94 × 6,618.15
  4. Step 4: Simplify right side
    21,407.94x = 212,541,490.16
  5. Step 5: Solve for x
    x = 212,541,490.16/21,407.94
  6. Step 6: Final answer
    x = 9,928.16

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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.