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Finding the Fourth Proportional to 5,611.78, 7,737.06 and 3,840.34

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Solution

The fourth proportional to 5,611.78, 7,737.06 and 3,840.34 is: 5,294.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,611.78 : 7,737.06 = 3,840.34 : x
  2. Step 2: Convert to fraction form
    5,611.78/7,737.06 = 3,840.34/x
  3. Step 3: Cross multiply
    5,611.78x = 7,737.06 × 3,840.34
  4. Step 4: Simplify right side
    5,611.78x = 29,712,941.00
  5. Step 5: Solve for x
    x = 29,712,941.00/5,611.78
  6. Step 6: Final answer
    x = 5,294.74

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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.