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Finding the Fourth Proportional to 8,702.38, 12,009.21 and 4,723.50

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Solution

The fourth proportional to 8,702.38, 12,009.21 and 4,723.50 is: 6,518.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.38 : 12,009.21 = 4,723.50 : x
  2. Step 2: Convert to fraction form
    8,702.38/12,009.21 = 4,723.50/x
  3. Step 3: Cross multiply
    8,702.38x = 12,009.21 × 4,723.50
  4. Step 4: Simplify right side
    8,702.38x = 56,725,473.41
  5. Step 5: Solve for x
    x = 56,725,473.41/8,702.38
  6. Step 6: Final answer
    x = 6,518.39

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1.5x scale

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.