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Finding the Fourth Proportional to 28,509.84, 42,772.05 and 11,864.34

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Solution

The fourth proportional to 28,509.84, 42,772.05 and 11,864.34 is: 17,799.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,509.84 : 42,772.05 = 11,864.34 : x
  2. Step 2: Convert to fraction form
    28,509.84/42,772.05 = 11,864.34/x
  3. Step 3: Cross multiply
    28,509.84x = 42,772.05 × 11,864.34
  4. Step 4: Simplify right side
    28,509.84x = 507,462,143.70
  5. Step 5: Solve for x
    x = 507,462,143.70/28,509.84
  6. Step 6: Final answer
    x = 17,799.54

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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.