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Finding the Fourth Proportional to 35,103.16, 48,437.76 and 20,953

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Solution

The fourth proportional to 35,103.16, 48,437.76 and 20,953 is: 28,912.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,103.16 : 48,437.76 = 20,953 : x
  2. Step 2: Convert to fraction form
    35,103.16/48,437.76 = 20,953/x
  3. Step 3: Cross multiply
    35,103.16x = 48,437.76 × 20,953
  4. Step 4: Simplify right side
    35,103.16x = 1,014,916,385.28
  5. Step 5: Solve for x
    x = 1,014,916,385.28/35,103.16
  6. Step 6: Final answer
    x = 28,912.39

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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.