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Finding the Fourth Proportional to 21,171.98, 31,762.53 and 8,024.47

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Solution

The fourth proportional to 21,171.98, 31,762.53 and 8,024.47 is: 12,038.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,171.98 : 31,762.53 = 8,024.47 : x
  2. Step 2: Convert to fraction form
    21,171.98/31,762.53 = 8,024.47/x
  3. Step 3: Cross multiply
    21,171.98x = 31,762.53 × 8,024.47
  4. Step 4: Simplify right side
    21,171.98x = 254,877,389.70
  5. Step 5: Solve for x
    x = 254,877,389.70/21,171.98
  6. Step 6: Final answer
    x = 12,038.43

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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.