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Finding the Fourth Proportional to 17,820.50, 24,602.10 and 13,342.64

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Solution

The fourth proportional to 17,820.50, 24,602.10 and 13,342.64 is: 18,420.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,820.50 : 24,602.10 = 13,342.64 : x
  2. Step 2: Convert to fraction form
    17,820.50/24,602.10 = 13,342.64/x
  3. Step 3: Cross multiply
    17,820.50x = 24,602.10 × 13,342.64
  4. Step 4: Simplify right side
    17,820.50x = 328,256,963.54
  5. Step 5: Solve for x
    x = 328,256,963.54/17,820.50
  6. Step 6: Final answer
    x = 18,420.19

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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.