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Finding the Fourth Proportional to 37,643.20, 56,464.80 and 31,076.80

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Solution

The fourth proportional to 37,643.20, 56,464.80 and 31,076.80 is: 46,615.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,643.20 : 56,464.80 = 31,076.80 : x
  2. Step 2: Convert to fraction form
    37,643.20/56,464.80 = 31,076.80/x
  3. Step 3: Cross multiply
    37,643.20x = 56,464.80 × 31,076.80
  4. Step 4: Simplify right side
    37,643.20x = 1,754,745,296.64
  5. Step 5: Solve for x
    x = 1,754,745,296.64/37,643.20
  6. Step 6: Final answer
    x = 46,615.20

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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.