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Finding the Fourth Proportional to 13,710.78, 20,576.98 and 7,047

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Solution

The fourth proportional to 13,710.78, 20,576.98 and 7,047 is: 10,576.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.78 : 20,576.98 = 7,047 : x
  2. Step 2: Convert to fraction form
    13,710.78/20,576.98 = 7,047/x
  3. Step 3: Cross multiply
    13,710.78x = 20,576.98 × 7,047
  4. Step 4: Simplify right side
    13,710.78x = 145,005,978.06
  5. Step 5: Solve for x
    x = 145,005,978.06/13,710.78
  6. Step 6: Final answer
    x = 10,576.06

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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.