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Finding the Fourth Proportional to 35,326, 52,989 and 13,113.64

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Solution

The fourth proportional to 35,326, 52,989 and 13,113.64 is: 19,670.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,326 : 52,989 = 13,113.64 : x
  2. Step 2: Convert to fraction form
    35,326/52,989 = 13,113.64/x
  3. Step 3: Cross multiply
    35,326x = 52,989 × 13,113.64
  4. Step 4: Simplify right side
    35,326x = 694,878,669.96
  5. Step 5: Solve for x
    x = 694,878,669.96/35,326
  6. Step 6: Final answer
    x = 19,670.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.