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Finding the Fourth Proportional to 35,392.59, 53,033.79 and 13,200

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Solution

The fourth proportional to 35,392.59, 53,033.79 and 13,200 is: 19,779.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,392.59 : 53,033.79 = 13,200 : x
  2. Step 2: Convert to fraction form
    35,392.59/53,033.79 = 13,200/x
  3. Step 3: Cross multiply
    35,392.59x = 53,033.79 × 13,200
  4. Step 4: Simplify right side
    35,392.59x = 700,046,028
  5. Step 5: Solve for x
    x = 700,046,028/35,392.59
  6. Step 6: Final answer
    x = 19,779.45

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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.