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Finding the Fourth Proportional to 12,495.50, 18,728.67 and 6,946.19

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Solution

The fourth proportional to 12,495.50, 18,728.67 and 6,946.19 is: 10,411.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,495.50 : 18,728.67 = 6,946.19 : x
  2. Step 2: Convert to fraction form
    12,495.50/18,728.67 = 6,946.19/x
  3. Step 3: Cross multiply
    12,495.50x = 18,728.67 × 6,946.19
  4. Step 4: Simplify right side
    12,495.50x = 130,092,900.27
  5. Step 5: Solve for x
    x = 130,092,900.27/12,495.50
  6. Step 6: Final answer
    x = 10,411.18

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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.