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Finding the Fourth Proportional to 35,538, 53,307.28 and 12,164.64

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Solution

The fourth proportional to 35,538, 53,307.28 and 12,164.64 is: 18,247.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,538 : 53,307.28 = 12,164.64 : x
  2. Step 2: Convert to fraction form
    35,538/53,307.28 = 12,164.64/x
  3. Step 3: Cross multiply
    35,538x = 53,307.28 × 12,164.64
  4. Step 4: Simplify right side
    35,538x = 648,463,870.58
  5. Step 5: Solve for x
    x = 648,463,870.58/35,538
  6. Step 6: Final answer
    x = 18,247.06

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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.