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Finding the Fourth Proportional to 31,509.96, 47,238.03 and 13,970.22

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Solution

The fourth proportional to 31,509.96, 47,238.03 and 13,970.22 is: 20,943.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,509.96 : 47,238.03 = 13,970.22 : x
  2. Step 2: Convert to fraction form
    31,509.96/47,238.03 = 13,970.22/x
  3. Step 3: Cross multiply
    31,509.96x = 47,238.03 × 13,970.22
  4. Step 4: Simplify right side
    31,509.96x = 659,925,671.47
  5. Step 5: Solve for x
    x = 659,925,671.47/31,509.96
  6. Step 6: Final answer
    x = 20,943.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.