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Finding the Fourth Proportional to 20,706.90, 31,060.62 and 5,916.30

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Solution

The fourth proportional to 20,706.90, 31,060.62 and 5,916.30 is: 8,874.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,706.90 : 31,060.62 = 5,916.30 : x
  2. Step 2: Convert to fraction form
    20,706.90/31,060.62 = 5,916.30/x
  3. Step 3: Cross multiply
    20,706.90x = 31,060.62 × 5,916.30
  4. Step 4: Simplify right side
    20,706.90x = 183,763,946.11
  5. Step 5: Solve for x
    x = 183,763,946.11/20,706.90
  6. Step 6: Final answer
    x = 8,874.53

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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.