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Finding the Fourth Proportional to 15,969.47, 22,038.09 and 9,164.60

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Solution

The fourth proportional to 15,969.47, 22,038.09 and 9,164.60 is: 12,647.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,969.47 : 22,038.09 = 9,164.60 : x
  2. Step 2: Convert to fraction form
    15,969.47/22,038.09 = 9,164.60/x
  3. Step 3: Cross multiply
    15,969.47x = 22,038.09 × 9,164.60
  4. Step 4: Simplify right side
    15,969.47x = 201,970,169.42
  5. Step 5: Solve for x
    x = 201,970,169.42/15,969.47
  6. Step 6: Final answer
    x = 12,647.27

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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.