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Finding the Fourth Proportional to 15,820.56, 21,831.54 and 8,746.80

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Solution

The fourth proportional to 15,820.56, 21,831.54 and 8,746.80 is: 12,070.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,820.56 : 21,831.54 = 8,746.80 : x
  2. Step 2: Convert to fraction form
    15,820.56/21,831.54 = 8,746.80/x
  3. Step 3: Cross multiply
    15,820.56x = 21,831.54 × 8,746.80
  4. Step 4: Simplify right side
    15,820.56x = 190,956,114.07
  5. Step 5: Solve for x
    x = 190,956,114.07/15,820.56
  6. Step 6: Final answer
    x = 12,070.12

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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.