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Finding the Fourth Proportional to 31,576.77, 47,347.74 and 12,852

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Solution

The fourth proportional to 31,576.77, 47,347.74 and 12,852 is: 19,270.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,576.77 : 47,347.74 = 12,852 : x
  2. Step 2: Convert to fraction form
    31,576.77/47,347.74 = 12,852/x
  3. Step 3: Cross multiply
    31,576.77x = 47,347.74 × 12,852
  4. Step 4: Simplify right side
    31,576.77x = 608,513,154.48
  5. Step 5: Solve for x
    x = 608,513,154.48/31,576.77
  6. Step 6: Final answer
    x = 19,270.91

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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.