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Finding the Fourth Proportional to 30,786.40, 46,146.48 and 13,264.48

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Solution

The fourth proportional to 30,786.40, 46,146.48 and 13,264.48 is: 19,882.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,786.40 : 46,146.48 = 13,264.48 : x
  2. Step 2: Convert to fraction form
    30,786.40/46,146.48 = 13,264.48/x
  3. Step 3: Cross multiply
    30,786.40x = 46,146.48 × 13,264.48
  4. Step 4: Simplify right side
    30,786.40x = 612,109,061.03
  5. Step 5: Solve for x
    x = 612,109,061.03/30,786.40
  6. Step 6: Final answer
    x = 19,882.45

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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.