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Finding the Fourth Proportional to 28,751.84, 39,681.24 and 16,178.96

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Solution

The fourth proportional to 28,751.84, 39,681.24 and 16,178.96 is: 22,329.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,751.84 : 39,681.24 = 16,178.96 : x
  2. Step 2: Convert to fraction form
    28,751.84/39,681.24 = 16,178.96/x
  3. Step 3: Cross multiply
    28,751.84x = 39,681.24 × 16,178.96
  4. Step 4: Simplify right side
    28,751.84x = 642,001,194.71
  5. Step 5: Solve for x
    x = 642,001,194.71/28,751.84
  6. Step 6: Final answer
    x = 22,329.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.