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Finding the Fourth Proportional to 14,705.52, 20,279.77 and 11,343

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Solution

The fourth proportional to 14,705.52, 20,279.77 and 11,343 is: 15,642.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,705.52 : 20,279.77 = 11,343 : x
  2. Step 2: Convert to fraction form
    14,705.52/20,279.77 = 11,343/x
  3. Step 3: Cross multiply
    14,705.52x = 20,279.77 × 11,343
  4. Step 4: Simplify right side
    14,705.52x = 230,033,431.11
  5. Step 5: Solve for x
    x = 230,033,431.11/14,705.52
  6. Step 6: Final answer
    x = 15,642.66

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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.