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Finding the Fourth Proportional to 21,778.35, 32,670.42 and 6,982.35

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Solution

The fourth proportional to 21,778.35, 32,670.42 and 6,982.35 is: 10,474.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,778.35 : 32,670.42 = 6,982.35 : x
  2. Step 2: Convert to fraction form
    21,778.35/32,670.42 = 6,982.35/x
  3. Step 3: Cross multiply
    21,778.35x = 32,670.42 × 6,982.35
  4. Step 4: Simplify right side
    21,778.35x = 228,116,307.09
  5. Step 5: Solve for x
    x = 228,116,307.09/21,778.35
  6. Step 6: Final answer
    x = 10,474.45

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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.