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Finding the Fourth Proportional to 37,978.32, 56,968.38 and 13,018.17

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Solution

The fourth proportional to 37,978.32, 56,968.38 and 13,018.17 is: 19,527.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,978.32 : 56,968.38 = 13,018.17 : x
  2. Step 2: Convert to fraction form
    37,978.32/56,968.38 = 13,018.17/x
  3. Step 3: Cross multiply
    37,978.32x = 56,968.38 × 13,018.17
  4. Step 4: Simplify right side
    37,978.32x = 741,624,055.46
  5. Step 5: Solve for x
    x = 741,624,055.46/37,978.32
  6. Step 6: Final answer
    x = 19,527.56

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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.