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Finding the Fourth Proportional to 13,219.55, 19,802.88 and 7,951.65

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Solution

The fourth proportional to 13,219.55, 19,802.88 and 7,951.65 is: 11,911.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,219.55 : 19,802.88 = 7,951.65 : x
  2. Step 2: Convert to fraction form
    13,219.55/19,802.88 = 7,951.65/x
  3. Step 3: Cross multiply
    13,219.55x = 19,802.88 × 7,951.65
  4. Step 4: Simplify right side
    13,219.55x = 157,465,607.88
  5. Step 5: Solve for x
    x = 157,465,607.88/13,219.55
  6. Step 6: Final answer
    x = 11,911.57

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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.