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Finding the Fourth Proportional to 21,823.76, 30,113.16 and 12,388.88

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Solution

The fourth proportional to 21,823.76, 30,113.16 and 12,388.88 is: 17,094.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,823.76 : 30,113.16 = 12,388.88 : x
  2. Step 2: Convert to fraction form
    21,823.76/30,113.16 = 12,388.88/x
  3. Step 3: Cross multiply
    21,823.76x = 30,113.16 × 12,388.88
  4. Step 4: Simplify right side
    21,823.76x = 373,068,325.66
  5. Step 5: Solve for x
    x = 373,068,325.66/21,823.76
  6. Step 6: Final answer
    x = 17,094.59

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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.