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Finding the Fourth Proportional to 8,489.14, 12,710.62 and 4,973.95

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Solution

The fourth proportional to 8,489.14, 12,710.62 and 4,973.95 is: 7,447.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.14 : 12,710.62 = 4,973.95 : x
  2. Step 2: Convert to fraction form
    8,489.14/12,710.62 = 4,973.95/x
  3. Step 3: Cross multiply
    8,489.14x = 12,710.62 × 4,973.95
  4. Step 4: Simplify right side
    8,489.14x = 63,221,988.35
  5. Step 5: Solve for x
    x = 63,221,988.35/8,489.14
  6. Step 6: Final answer
    x = 7,447.40

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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.