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Finding the Fourth Proportional to 15,316.83, 22,978.59 and 4,787.64

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Solution

The fourth proportional to 15,316.83, 22,978.59 and 4,787.64 is: 7,182.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,316.83 : 22,978.59 = 4,787.64 : x
  2. Step 2: Convert to fraction form
    15,316.83/22,978.59 = 4,787.64/x
  3. Step 3: Cross multiply
    15,316.83x = 22,978.59 × 4,787.64
  4. Step 4: Simplify right side
    15,316.83x = 110,013,320.75
  5. Step 5: Solve for x
    x = 110,013,320.75/15,316.83
  6. Step 6: Final answer
    x = 7,182.51

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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.