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Finding the Fourth Proportional to 15,807.47, 21,811.16 and 9,520.25

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Solution

The fourth proportional to 15,807.47, 21,811.16 and 9,520.25 is: 13,136.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,807.47 : 21,811.16 = 9,520.25 : x
  2. Step 2: Convert to fraction form
    15,807.47/21,811.16 = 9,520.25/x
  3. Step 3: Cross multiply
    15,807.47x = 21,811.16 × 9,520.25
  4. Step 4: Simplify right side
    15,807.47x = 207,647,648.39
  5. Step 5: Solve for x
    x = 207,647,648.39/15,807.47
  6. Step 6: Final answer
    x = 13,136.05

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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.