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Finding the Fourth Proportional to 15,807.20, 23,710.82 and 4,119.50

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Solution

The fourth proportional to 15,807.20, 23,710.82 and 4,119.50 is: 6,179.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,807.20 : 23,710.82 = 4,119.50 : x
  2. Step 2: Convert to fraction form
    15,807.20/23,710.82 = 4,119.50/x
  3. Step 3: Cross multiply
    15,807.20x = 23,710.82 × 4,119.50
  4. Step 4: Simplify right side
    15,807.20x = 97,676,722.99
  5. Step 5: Solve for x
    x = 97,676,722.99/15,807.20
  6. Step 6: Final answer
    x = 6,179.26

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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.