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Finding the Fourth Proportional to 10,569, 15,853.50 and 4,413

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Solution

The fourth proportional to 10,569, 15,853.50 and 4,413 is: 6,619.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,569 : 15,853.50 = 4,413 : x
  2. Step 2: Convert to fraction form
    10,569/15,853.50 = 4,413/x
  3. Step 3: Cross multiply
    10,569x = 15,853.50 × 4,413
  4. Step 4: Simplify right side
    10,569x = 69,961,495.50
  5. Step 5: Solve for x
    x = 69,961,495.50/10,569
  6. Step 6: Final answer
    x = 6,619.50

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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.