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Finding the Fourth Proportional to 28,106.84, 42,156 and 10,572.59

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Solution

The fourth proportional to 28,106.84, 42,156 and 10,572.59 is: 15,857.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,106.84 : 42,156 = 10,572.59 : x
  2. Step 2: Convert to fraction form
    28,106.84/42,156 = 10,572.59/x
  3. Step 3: Cross multiply
    28,106.84x = 42,156 × 10,572.59
  4. Step 4: Simplify right side
    28,106.84x = 445,697,893.26
  5. Step 5: Solve for x
    x = 445,697,893.26/28,106.84
  6. Step 6: Final answer
    x = 15,857.28

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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.