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Finding the Fourth Proportional to 13,995.70, 19,314.06 and 7,708

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Solution

The fourth proportional to 13,995.70, 19,314.06 and 7,708 is: 10,637.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,995.70 : 19,314.06 = 7,708 : x
  2. Step 2: Convert to fraction form
    13,995.70/19,314.06 = 7,708/x
  3. Step 3: Cross multiply
    13,995.70x = 19,314.06 × 7,708
  4. Step 4: Simplify right side
    13,995.70x = 148,872,774.48
  5. Step 5: Solve for x
    x = 148,872,774.48/13,995.70
  6. Step 6: Final answer
    x = 10,637.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.