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Finding the Fourth Proportional to 11,611.74, 16,029.10 and 7,840.01

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Solution

The fourth proportional to 11,611.74, 16,029.10 and 7,840.01 is: 10,822.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,611.74 : 16,029.10 = 7,840.01 : x
  2. Step 2: Convert to fraction form
    11,611.74/16,029.10 = 7,840.01/x
  3. Step 3: Cross multiply
    11,611.74x = 16,029.10 × 7,840.01
  4. Step 4: Simplify right side
    11,611.74x = 125,668,184.95
  5. Step 5: Solve for x
    x = 125,668,184.95/11,611.74
  6. Step 6: Final answer
    x = 10,822.52

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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.