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Finding the Fourth Proportional to 15,815.42, 21,823.05 and 9,009.62

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Solution

The fourth proportional to 15,815.42, 21,823.05 and 9,009.62 is: 12,432.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,815.42 : 21,823.05 = 9,009.62 : x
  2. Step 2: Convert to fraction form
    15,815.42/21,823.05 = 9,009.62/x
  3. Step 3: Cross multiply
    15,815.42x = 21,823.05 × 9,009.62
  4. Step 4: Simplify right side
    15,815.42x = 196,617,387.74
  5. Step 5: Solve for x
    x = 196,617,387.74/15,815.42
  6. Step 6: Final answer
    x = 12,432.01

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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.