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Finding the Fourth Proportional to 8,507, 12,737.64 and 4,803.68

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Solution

The fourth proportional to 8,507, 12,737.64 and 4,803.68 is: 7,192.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507 : 12,737.64 = 4,803.68 : x
  2. Step 2: Convert to fraction form
    8,507/12,737.64 = 4,803.68/x
  3. Step 3: Cross multiply
    8,507x = 12,737.64 × 4,803.68
  4. Step 4: Simplify right side
    8,507x = 61,187,546.52
  5. Step 5: Solve for x
    x = 61,187,546.52/8,507
  6. Step 6: Final answer
    x = 7,192.61

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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.