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Finding the Fourth Proportional to 35,368, 48,810.24 and 20,464

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Solution

The fourth proportional to 35,368, 48,810.24 and 20,464 is: 28,241.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,368 : 48,810.24 = 20,464 : x
  2. Step 2: Convert to fraction form
    35,368/48,810.24 = 20,464/x
  3. Step 3: Cross multiply
    35,368x = 48,810.24 × 20,464
  4. Step 4: Simplify right side
    35,368x = 998,852,751.36
  5. Step 5: Solve for x
    x = 998,852,751.36/35,368
  6. Step 6: Final answer
    x = 28,241.71

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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.