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Finding the Fourth Proportional to 12,737.70, 19,106.55 and 5,812.20

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Solution

The fourth proportional to 12,737.70, 19,106.55 and 5,812.20 is: 8,718.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,737.70 : 19,106.55 = 5,812.20 : x
  2. Step 2: Convert to fraction form
    12,737.70/19,106.55 = 5,812.20/x
  3. Step 3: Cross multiply
    12,737.70x = 19,106.55 × 5,812.20
  4. Step 4: Simplify right side
    12,737.70x = 111,051,089.91
  5. Step 5: Solve for x
    x = 111,051,089.91/12,737.70
  6. Step 6: Final answer
    x = 8,718.30

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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.