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Finding the Fourth Proportional to 37,976.04, 56,978.76 and 15,783.72

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Solution

The fourth proportional to 37,976.04, 56,978.76 and 15,783.72 is: 23,681.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,976.04 : 56,978.76 = 15,783.72 : x
  2. Step 2: Convert to fraction form
    37,976.04/56,978.76 = 15,783.72/x
  3. Step 3: Cross multiply
    37,976.04x = 56,978.76 × 15,783.72
  4. Step 4: Simplify right side
    37,976.04x = 899,336,793.79
  5. Step 5: Solve for x
    x = 899,336,793.79/37,976.04
  6. Step 6: Final answer
    x = 23,681.69

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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.