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Finding the Fourth Proportional to 8,507, 11,739.72 and 4,781

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Solution

The fourth proportional to 8,507, 11,739.72 and 4,781 is: 6,597.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507 : 11,739.72 = 4,781 : x
  2. Step 2: Convert to fraction form
    8,507/11,739.72 = 4,781/x
  3. Step 3: Cross multiply
    8,507x = 11,739.72 × 4,781
  4. Step 4: Simplify right side
    8,507x = 56,127,601.32
  5. Step 5: Solve for x
    x = 56,127,601.32/8,507
  6. Step 6: Final answer
    x = 6,597.81

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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.