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Finding the Fourth Proportional to 15,424.96, 23,145.54 and 8,410

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Solution

The fourth proportional to 15,424.96, 23,145.54 and 8,410 is: 12,619.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,424.96 : 23,145.54 = 8,410 : x
  2. Step 2: Convert to fraction form
    15,424.96/23,145.54 = 8,410/x
  3. Step 3: Cross multiply
    15,424.96x = 23,145.54 × 8,410
  4. Step 4: Simplify right side
    15,424.96x = 194,653,991.40
  5. Step 5: Solve for x
    x = 194,653,991.40/15,424.96
  6. Step 6: Final answer
    x = 12,619.42

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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.