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Finding the Fourth Proportional to 8,437.50, 12,647.61 and 3,510

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Solution

The fourth proportional to 8,437.50, 12,647.61 and 3,510 is: 5,261.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,437.50 : 12,647.61 = 3,510 : x
  2. Step 2: Convert to fraction form
    8,437.50/12,647.61 = 3,510/x
  3. Step 3: Cross multiply
    8,437.50x = 12,647.61 × 3,510
  4. Step 4: Simplify right side
    8,437.50x = 44,393,111.10
  5. Step 5: Solve for x
    x = 44,393,111.10/8,437.50
  6. Step 6: Final answer
    x = 5,261.41

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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.