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Finding the Fourth Proportional to 6,378.06, 9,567.64 and 1,761.06

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Solution

The fourth proportional to 6,378.06, 9,567.64 and 1,761.06 is: 2,641.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.06 : 9,567.64 = 1,761.06 : x
  2. Step 2: Convert to fraction form
    6,378.06/9,567.64 = 1,761.06/x
  3. Step 3: Cross multiply
    6,378.06x = 9,567.64 × 1,761.06
  4. Step 4: Simplify right side
    6,378.06x = 16,849,188.10
  5. Step 5: Solve for x
    x = 16,849,188.10/6,378.06
  6. Step 6: Final answer
    x = 2,641.74

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1.5x scale

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.