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Finding the Fourth Proportional to 19,163.68, 28,746.02 and 5,312.80

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Solution

The fourth proportional to 19,163.68, 28,746.02 and 5,312.80 is: 7,969.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,163.68 : 28,746.02 = 5,312.80 : x
  2. Step 2: Convert to fraction form
    19,163.68/28,746.02 = 5,312.80/x
  3. Step 3: Cross multiply
    19,163.68x = 28,746.02 × 5,312.80
  4. Step 4: Simplify right side
    19,163.68x = 152,721,855.06
  5. Step 5: Solve for x
    x = 152,721,855.06/19,163.68
  6. Step 6: Final answer
    x = 7,969.34

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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.