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Finding the Fourth Proportional to 15,761.54, 23,645.81 and 6,878.30

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Solution

The fourth proportional to 15,761.54, 23,645.81 and 6,878.30 is: 10,318.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,761.54 : 23,645.81 = 6,878.30 : x
  2. Step 2: Convert to fraction form
    15,761.54/23,645.81 = 6,878.30/x
  3. Step 3: Cross multiply
    15,761.54x = 23,645.81 × 6,878.30
  4. Step 4: Simplify right side
    15,761.54x = 162,643,051.23
  5. Step 5: Solve for x
    x = 162,643,051.23/15,761.54
  6. Step 6: Final answer
    x = 10,318.99

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1.5x scale

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.