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Finding the Fourth Proportional to 5,607, 7,737.66 and 3,123

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Solution

The fourth proportional to 5,607, 7,737.66 and 3,123 is: 4,309.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,607 : 7,737.66 = 3,123 : x
  2. Step 2: Convert to fraction form
    5,607/7,737.66 = 3,123/x
  3. Step 3: Cross multiply
    5,607x = 7,737.66 × 3,123
  4. Step 4: Simplify right side
    5,607x = 24,164,712.18
  5. Step 5: Solve for x
    x = 24,164,712.18/5,607
  6. Step 6: Final answer
    x = 4,309.74

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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.