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Finding the Fourth Proportional to 13,005.19, 17,948.99 and 7,340.42

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Solution

The fourth proportional to 13,005.19, 17,948.99 and 7,340.42 is: 10,130.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.19 : 17,948.99 = 7,340.42 : x
  2. Step 2: Convert to fraction form
    13,005.19/17,948.99 = 7,340.42/x
  3. Step 3: Cross multiply
    13,005.19x = 17,948.99 × 7,340.42
  4. Step 4: Simplify right side
    13,005.19x = 131,753,188.40
  5. Step 5: Solve for x
    x = 131,753,188.40/13,005.19
  6. Step 6: Final answer
    x = 10,130.82

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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.