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Finding the Fourth Proportional to 31,804.84, 47,702.94 and 12,088.36

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Solution

The fourth proportional to 31,804.84, 47,702.94 and 12,088.36 is: 18,130.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,804.84 : 47,702.94 = 12,088.36 : x
  2. Step 2: Convert to fraction form
    31,804.84/47,702.94 = 12,088.36/x
  3. Step 3: Cross multiply
    31,804.84x = 47,702.94 × 12,088.36
  4. Step 4: Simplify right side
    31,804.84x = 576,650,311.78
  5. Step 5: Solve for x
    x = 576,650,311.78/31,804.84
  6. Step 6: Final answer
    x = 18,130.90

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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.