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Finding the Fourth Proportional to 7,888.49, 11,829.24 and 4,189.93

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Solution

The fourth proportional to 7,888.49, 11,829.24 and 4,189.93 is: 6,283.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,888.49 : 11,829.24 = 4,189.93 : x
  2. Step 2: Convert to fraction form
    7,888.49/11,829.24 = 4,189.93/x
  3. Step 3: Cross multiply
    7,888.49x = 11,829.24 × 4,189.93
  4. Step 4: Simplify right side
    7,888.49x = 49,563,657.98
  5. Step 5: Solve for x
    x = 49,563,657.98/7,888.49
  6. Step 6: Final answer
    x = 6,283.04

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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.