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Finding the Fourth Proportional to 37,347, 51,539.40 and 20,580

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Solution

The fourth proportional to 37,347, 51,539.40 and 20,580 is: 28,400.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,347 : 51,539.40 = 20,580 : x
  2. Step 2: Convert to fraction form
    37,347/51,539.40 = 20,580/x
  3. Step 3: Cross multiply
    37,347x = 51,539.40 × 20,580
  4. Step 4: Simplify right side
    37,347x = 1,060,680,852
  5. Step 5: Solve for x
    x = 1,060,680,852/37,347
  6. Step 6: Final answer
    x = 28,400.70

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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.