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Finding the Fourth Proportional to 21,064, 31,576.56 and 7,907.44

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Solution

The fourth proportional to 21,064, 31,576.56 and 7,907.44 is: 11,853.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,064 : 31,576.56 = 7,907.44 : x
  2. Step 2: Convert to fraction form
    21,064/31,576.56 = 7,907.44/x
  3. Step 3: Cross multiply
    21,064x = 31,576.56 × 7,907.44
  4. Step 4: Simplify right side
    21,064x = 249,689,753.61
  5. Step 5: Solve for x
    x = 249,689,753.61/21,064
  6. Step 6: Final answer
    x = 11,853.86

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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.