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Finding the Fourth Proportional to 6,454.44, 9,680.50 and 1,710.63

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Solution

The fourth proportional to 6,454.44, 9,680.50 and 1,710.63 is: 2,565.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.44 : 9,680.50 = 1,710.63 : x
  2. Step 2: Convert to fraction form
    6,454.44/9,680.50 = 1,710.63/x
  3. Step 3: Cross multiply
    6,454.44x = 9,680.50 × 1,710.63
  4. Step 4: Simplify right side
    6,454.44x = 16,559,745.16
  5. Step 5: Solve for x
    x = 16,559,745.16/6,454.44
  6. Step 6: Final answer
    x = 2,565.64

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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.