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Finding the Fourth Proportional to 46,687.20, 70,020.12 and 13,407

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Solution

The fourth proportional to 46,687.20, 70,020.12 and 13,407 is: 20,107.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,687.20 : 70,020.12 = 13,407 : x
  2. Step 2: Convert to fraction form
    46,687.20/70,020.12 = 13,407/x
  3. Step 3: Cross multiply
    46,687.20x = 70,020.12 × 13,407
  4. Step 4: Simplify right side
    46,687.20x = 938,759,748.84
  5. Step 5: Solve for x
    x = 938,759,748.84/46,687.20
  6. Step 6: Final answer
    x = 20,107.43

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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.