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Finding the Fourth Proportional to 8,465, 11,681.76 and 4,739

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Solution

The fourth proportional to 8,465, 11,681.76 and 4,739 is: 6,539.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,465 : 11,681.76 = 4,739 : x
  2. Step 2: Convert to fraction form
    8,465/11,681.76 = 4,739/x
  3. Step 3: Cross multiply
    8,465x = 11,681.76 × 4,739
  4. Step 4: Simplify right side
    8,465x = 55,359,860.64
  5. Step 5: Solve for x
    x = 55,359,860.64/8,465
  6. Step 6: Final answer
    x = 6,539.85

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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.