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Finding the Fourth Proportional to 15,816, 21,823.88 and 9,099.08

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Solution

The fourth proportional to 15,816, 21,823.88 and 9,099.08 is: 12,555.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,816 : 21,823.88 = 9,099.08 : x
  2. Step 2: Convert to fraction form
    15,816/21,823.88 = 9,099.08/x
  3. Step 3: Cross multiply
    15,816x = 21,823.88 × 9,099.08
  4. Step 4: Simplify right side
    15,816x = 198,577,230.03
  5. Step 5: Solve for x
    x = 198,577,230.03/15,816
  6. Step 6: Final answer
    x = 12,555.46

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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.