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Finding the Fourth Proportional to 21,878.84, 32,827.44 and 9,401.60

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Solution

The fourth proportional to 21,878.84, 32,827.44 and 9,401.60 is: 14,106.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,878.84 : 32,827.44 = 9,401.60 : x
  2. Step 2: Convert to fraction form
    21,878.84/32,827.44 = 9,401.60/x
  3. Step 3: Cross multiply
    21,878.84x = 32,827.44 × 9,401.60
  4. Step 4: Simplify right side
    21,878.84x = 308,630,459.90
  5. Step 5: Solve for x
    x = 308,630,459.90/21,878.84
  6. Step 6: Final answer
    x = 14,106.34

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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.