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Finding the Fourth Proportional to 6,461.46, 9,690.90 and 1,780.26

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Solution

The fourth proportional to 6,461.46, 9,690.90 and 1,780.26 is: 2,670.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.46 : 9,690.90 = 1,780.26 : x
  2. Step 2: Convert to fraction form
    6,461.46/9,690.90 = 1,780.26/x
  3. Step 3: Cross multiply
    6,461.46x = 9,690.90 × 1,780.26
  4. Step 4: Simplify right side
    6,461.46x = 17,252,321.63
  5. Step 5: Solve for x
    x = 17,252,321.63/6,461.46
  6. Step 6: Final answer
    x = 2,670.03

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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.