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Finding the Fourth Proportional to 6,309.65, 8,702.69 and 4,070.39

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Solution

The fourth proportional to 6,309.65, 8,702.69 and 4,070.39 is: 5,614.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.65 : 8,702.69 = 4,070.39 : x
  2. Step 2: Convert to fraction form
    6,309.65/8,702.69 = 4,070.39/x
  3. Step 3: Cross multiply
    6,309.65x = 8,702.69 × 4,070.39
  4. Step 4: Simplify right side
    6,309.65x = 35,423,322.00
  5. Step 5: Solve for x
    x = 35,423,322.00/6,309.65
  6. Step 6: Final answer
    x = 5,614.15

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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.