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Finding the Fourth Proportional to 13,948.74, 19,249.74 and 7,980.30

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Solution

The fourth proportional to 13,948.74, 19,249.74 and 7,980.30 is: 11,013.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,948.74 : 19,249.74 = 7,980.30 : x
  2. Step 2: Convert to fraction form
    13,948.74/19,249.74 = 7,980.30/x
  3. Step 3: Cross multiply
    13,948.74x = 19,249.74 × 7,980.30
  4. Step 4: Simplify right side
    13,948.74x = 153,618,700.12
  5. Step 5: Solve for x
    x = 153,618,700.12/13,948.74
  6. Step 6: Final answer
    x = 11,013.09

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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.