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Finding the Fourth Proportional to 31,499.84, 47,254.37 and 11,510.32

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Solution

The fourth proportional to 31,499.84, 47,254.37 and 11,510.32 is: 17,267.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,499.84 : 47,254.37 = 11,510.32 : x
  2. Step 2: Convert to fraction form
    31,499.84/47,254.37 = 11,510.32/x
  3. Step 3: Cross multiply
    31,499.84x = 47,254.37 × 11,510.32
  4. Step 4: Simplify right side
    31,499.84x = 543,912,920.10
  5. Step 5: Solve for x
    x = 543,912,920.10/31,499.84
  6. Step 6: Final answer
    x = 17,267.16

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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.