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Finding the Fourth Proportional to 15,831.10, 21,846.97 and 9,117.11

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Solution

The fourth proportional to 15,831.10, 21,846.97 and 9,117.11 is: 12,581.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,831.10 : 21,846.97 = 9,117.11 : x
  2. Step 2: Convert to fraction form
    15,831.10/21,846.97 = 9,117.11/x
  3. Step 3: Cross multiply
    15,831.10x = 21,846.97 × 9,117.11
  4. Step 4: Simplify right side
    15,831.10x = 199,181,120.50
  5. Step 5: Solve for x
    x = 199,181,120.50/15,831.10
  6. Step 6: Final answer
    x = 12,581.64

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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.