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Finding the Fourth Proportional to 8,710.74, 13,069.35 and 2,867.40

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Solution

The fourth proportional to 8,710.74, 13,069.35 and 2,867.40 is: 4,302.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,710.74 : 13,069.35 = 2,867.40 : x
  2. Step 2: Convert to fraction form
    8,710.74/13,069.35 = 2,867.40/x
  3. Step 3: Cross multiply
    8,710.74x = 13,069.35 × 2,867.40
  4. Step 4: Simplify right side
    8,710.74x = 37,475,054.19
  5. Step 5: Solve for x
    x = 37,475,054.19/8,710.74
  6. Step 6: Final answer
    x = 4,302.17

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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.