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Finding the Fourth Proportional to 31,244.32, 46,870.80 and 12,772

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Solution

The fourth proportional to 31,244.32, 46,870.80 and 12,772 is: 19,159.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,244.32 : 46,870.80 = 12,772 : x
  2. Step 2: Convert to fraction form
    31,244.32/46,870.80 = 12,772/x
  3. Step 3: Cross multiply
    31,244.32x = 46,870.80 × 12,772
  4. Step 4: Simplify right side
    31,244.32x = 598,633,857.60
  5. Step 5: Solve for x
    x = 598,633,857.60/31,244.32
  6. Step 6: Final answer
    x = 19,159.77

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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.