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Finding the Fourth Proportional to 13,980, 19,292.52 and 7,606.65

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Solution

The fourth proportional to 13,980, 19,292.52 and 7,606.65 is: 10,497.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,980 : 19,292.52 = 7,606.65 : x
  2. Step 2: Convert to fraction form
    13,980/19,292.52 = 7,606.65/x
  3. Step 3: Cross multiply
    13,980x = 19,292.52 × 7,606.65
  4. Step 4: Simplify right side
    13,980x = 146,751,447.26
  5. Step 5: Solve for x
    x = 146,751,447.26/13,980
  6. Step 6: Final answer
    x = 10,497.24

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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.