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Finding the Fourth Proportional to 8,602.46, 12,907.33 and 4,702.31

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Solution

The fourth proportional to 8,602.46, 12,907.33 and 4,702.31 is: 7,055.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,602.46 : 12,907.33 = 4,702.31 : x
  2. Step 2: Convert to fraction form
    8,602.46/12,907.33 = 4,702.31/x
  3. Step 3: Cross multiply
    8,602.46x = 12,907.33 × 4,702.31
  4. Step 4: Simplify right side
    8,602.46x = 60,694,178.88
  5. Step 5: Solve for x
    x = 60,694,178.88/8,602.46
  6. Step 6: Final answer
    x = 7,055.45

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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.