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Finding the Fourth Proportional to 43,134.76, 64,702.12 and 11,970

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Solution

The fourth proportional to 43,134.76, 64,702.12 and 11,970 is: 17,954.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,134.76 : 64,702.12 = 11,970 : x
  2. Step 2: Convert to fraction form
    43,134.76/64,702.12 = 11,970/x
  3. Step 3: Cross multiply
    43,134.76x = 64,702.12 × 11,970
  4. Step 4: Simplify right side
    43,134.76x = 774,484,376.40
  5. Step 5: Solve for x
    x = 774,484,376.40/43,134.76
  6. Step 6: Final answer
    x = 17,954.99

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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.