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Finding the Fourth Proportional to 15,821.01, 21,831.09 and 8,746.47

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Solution

The fourth proportional to 15,821.01, 21,831.09 and 8,746.47 is: 12,069.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,821.01 : 21,831.09 = 8,746.47 : x
  2. Step 2: Convert to fraction form
    15,821.01/21,831.09 = 8,746.47/x
  3. Step 3: Cross multiply
    15,821.01x = 21,831.09 × 8,746.47
  4. Step 4: Simplify right side
    15,821.01x = 190,944,930.02
  5. Step 5: Solve for x
    x = 190,944,930.02/15,821.01
  6. Step 6: Final answer
    x = 12,069.07

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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.