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Finding the Fourth Proportional to 13,980.78, 19,293.48 and 7,693.16

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Solution

The fourth proportional to 13,980.78, 19,293.48 and 7,693.16 is: 10,616.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,980.78 : 19,293.48 = 7,693.16 : x
  2. Step 2: Convert to fraction form
    13,980.78/19,293.48 = 7,693.16/x
  3. Step 3: Cross multiply
    13,980.78x = 19,293.48 × 7,693.16
  4. Step 4: Simplify right side
    13,980.78x = 148,427,732.13
  5. Step 5: Solve for x
    x = 148,427,732.13/13,980.78
  6. Step 6: Final answer
    x = 10,616.56

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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.