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Finding the Fourth Proportional to 15,813.12, 21,823.48 and 8,740.91

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Solution

The fourth proportional to 15,813.12, 21,823.48 and 8,740.91 is: 12,063.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,813.12 : 21,823.48 = 8,740.91 : x
  2. Step 2: Convert to fraction form
    15,813.12/21,823.48 = 8,740.91/x
  3. Step 3: Cross multiply
    15,813.12x = 21,823.48 × 8,740.91
  4. Step 4: Simplify right side
    15,813.12x = 190,757,140.05
  5. Step 5: Solve for x
    x = 190,757,140.05/15,813.12
  6. Step 6: Final answer
    x = 12,063.22

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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.