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Finding the Fourth Proportional to 14,099, 19,455.84 and 7,810.88

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Solution

The fourth proportional to 14,099, 19,455.84 and 7,810.88 is: 10,778.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,099 : 19,455.84 = 7,810.88 : x
  2. Step 2: Convert to fraction form
    14,099/19,455.84 = 7,810.88/x
  3. Step 3: Cross multiply
    14,099x = 19,455.84 × 7,810.88
  4. Step 4: Simplify right side
    14,099x = 151,967,231.54
  5. Step 5: Solve for x
    x = 151,967,231.54/14,099
  6. Step 6: Final answer
    x = 10,778.58

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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.