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Finding the Fourth Proportional to 18,893.52, 28,341.88 and 5,746

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Solution

The fourth proportional to 18,893.52, 28,341.88 and 5,746 is: 8,619.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,893.52 : 28,341.88 = 5,746 : x
  2. Step 2: Convert to fraction form
    18,893.52/28,341.88 = 5,746/x
  3. Step 3: Cross multiply
    18,893.52x = 28,341.88 × 5,746
  4. Step 4: Simplify right side
    18,893.52x = 162,852,442.48
  5. Step 5: Solve for x
    x = 162,852,442.48/18,893.52
  6. Step 6: Final answer
    x = 8,619.49

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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.