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Finding the Fourth Proportional to 13,655.98, 18,844 and 7,686.69

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Solution

The fourth proportional to 13,655.98, 18,844 and 7,686.69 is: 10,606.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,655.98 : 18,844 = 7,686.69 : x
  2. Step 2: Convert to fraction form
    13,655.98/18,844 = 7,686.69/x
  3. Step 3: Cross multiply
    13,655.98x = 18,844 × 7,686.69
  4. Step 4: Simplify right side
    13,655.98x = 144,847,986.36
  5. Step 5: Solve for x
    x = 144,847,986.36/13,655.98
  6. Step 6: Final answer
    x = 10,606.93

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1.5x scale

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.