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Finding the Fourth Proportional to 19,009.50, 28,515.06 and 5,158.50

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Solution

The fourth proportional to 19,009.50, 28,515.06 and 5,158.50 is: 7,737.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,009.50 : 28,515.06 = 5,158.50 : x
  2. Step 2: Convert to fraction form
    19,009.50/28,515.06 = 5,158.50/x
  3. Step 3: Cross multiply
    19,009.50x = 28,515.06 × 5,158.50
  4. Step 4: Simplify right side
    19,009.50x = 147,094,937.01
  5. Step 5: Solve for x
    x = 147,094,937.01/19,009.50
  6. Step 6: Final answer
    x = 7,737.97

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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.