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Finding the Fourth Proportional to 15,859, 23,788.50 and 4,915

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Solution

The fourth proportional to 15,859, 23,788.50 and 4,915 is: 7,372.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,859 : 23,788.50 = 4,915 : x
  2. Step 2: Convert to fraction form
    15,859/23,788.50 = 4,915/x
  3. Step 3: Cross multiply
    15,859x = 23,788.50 × 4,915
  4. Step 4: Simplify right side
    15,859x = 116,920,477.50
  5. Step 5: Solve for x
    x = 116,920,477.50/15,859
  6. Step 6: Final answer
    x = 7,372.50

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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.