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Finding the Fourth Proportional to 37,980.88, 56,971.32 and 10,278.88

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Solution

The fourth proportional to 37,980.88, 56,971.32 and 10,278.88 is: 15,418.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,980.88 : 56,971.32 = 10,278.88 : x
  2. Step 2: Convert to fraction form
    37,980.88/56,971.32 = 10,278.88/x
  3. Step 3: Cross multiply
    37,980.88x = 56,971.32 × 10,278.88
  4. Step 4: Simplify right side
    37,980.88x = 585,601,361.72
  5. Step 5: Solve for x
    x = 585,601,361.72/37,980.88
  6. Step 6: Final answer
    x = 15,418.32

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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.