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Finding the Fourth Proportional to 13,115.16, 19,675.44 and 7,259.46

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Solution

The fourth proportional to 13,115.16, 19,675.44 and 7,259.46 is: 10,890.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,115.16 : 19,675.44 = 7,259.46 : x
  2. Step 2: Convert to fraction form
    13,115.16/19,675.44 = 7,259.46/x
  3. Step 3: Cross multiply
    13,115.16x = 19,675.44 × 7,259.46
  4. Step 4: Simplify right side
    13,115.16x = 142,833,069.66
  5. Step 5: Solve for x
    x = 142,833,069.66/13,115.16
  6. Step 6: Final answer
    x = 10,890.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.