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Finding the Fourth Proportional to 14,541, 20,068.20 and 8,255.40

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Solution

The fourth proportional to 14,541, 20,068.20 and 8,255.40 is: 11,393.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,541 : 20,068.20 = 8,255.40 : x
  2. Step 2: Convert to fraction form
    14,541/20,068.20 = 8,255.40/x
  3. Step 3: Cross multiply
    14,541x = 20,068.20 × 8,255.40
  4. Step 4: Simplify right side
    14,541x = 165,671,018.28
  5. Step 5: Solve for x
    x = 165,671,018.28/14,541
  6. Step 6: Final answer
    x = 11,393.37

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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.