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Finding the Fourth Proportional to 37,047, 51,124.86 and 20,280

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Solution

The fourth proportional to 37,047, 51,124.86 and 20,280 is: 27,986.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,047 : 51,124.86 = 20,280 : x
  2. Step 2: Convert to fraction form
    37,047/51,124.86 = 20,280/x
  3. Step 3: Cross multiply
    37,047x = 51,124.86 × 20,280
  4. Step 4: Simplify right side
    37,047x = 1,036,812,160.80
  5. Step 5: Solve for x
    x = 1,036,812,160.80/37,047
  6. Step 6: Final answer
    x = 27,986.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.