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Finding the Fourth Proportional to 15,826, 21,839.88 and 9,539.68

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Solution

The fourth proportional to 15,826, 21,839.88 and 9,539.68 is: 13,164.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,826 : 21,839.88 = 9,539.68 : x
  2. Step 2: Convert to fraction form
    15,826/21,839.88 = 9,539.68/x
  3. Step 3: Cross multiply
    15,826x = 21,839.88 × 9,539.68
  4. Step 4: Simplify right side
    15,826x = 208,345,466.44
  5. Step 5: Solve for x
    x = 208,345,466.44/15,826
  6. Step 6: Final answer
    x = 13,164.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.