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Finding the Fourth Proportional to 35,710.78, 53,576.20 and 13,221.12

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Solution

The fourth proportional to 35,710.78, 53,576.20 and 13,221.12 is: 19,835.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,710.78 : 53,576.20 = 13,221.12 : x
  2. Step 2: Convert to fraction form
    35,710.78/53,576.20 = 13,221.12/x
  3. Step 3: Cross multiply
    35,710.78x = 53,576.20 × 13,221.12
  4. Step 4: Simplify right side
    35,710.78x = 708,337,369.34
  5. Step 5: Solve for x
    x = 708,337,369.34/35,710.78
  6. Step 6: Final answer
    x = 19,835.39

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1.5x scale

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.