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Finding the Fourth Proportional to 28,509.80, 42,706.34 and 16,787.48

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Solution

The fourth proportional to 28,509.80, 42,706.34 and 16,787.48 is: 25,146.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,509.80 : 42,706.34 = 16,787.48 : x
  2. Step 2: Convert to fraction form
    28,509.80/42,706.34 = 16,787.48/x
  3. Step 3: Cross multiply
    28,509.80x = 42,706.34 × 16,787.48
  4. Step 4: Simplify right side
    28,509.80x = 716,931,828.62
  5. Step 5: Solve for x
    x = 716,931,828.62/28,509.80
  6. Step 6: Final answer
    x = 25,146.86

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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.