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Finding the Fourth Proportional to 15,978.06, 23,969.52 and 5,589

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Solution

The fourth proportional to 15,978.06, 23,969.52 and 5,589 is: 8,384.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,978.06 : 23,969.52 = 5,589 : x
  2. Step 2: Convert to fraction form
    15,978.06/23,969.52 = 5,589/x
  3. Step 3: Cross multiply
    15,978.06x = 23,969.52 × 5,589
  4. Step 4: Simplify right side
    15,978.06x = 133,965,647.28
  5. Step 5: Solve for x
    x = 133,965,647.28/15,978.06
  6. Step 6: Final answer
    x = 8,384.35

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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.