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Finding the Fourth Proportional to 6,580, 9,871.56 and 1,963.12

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Solution

The fourth proportional to 6,580, 9,871.56 and 1,963.12 is: 2,945.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580 : 9,871.56 = 1,963.12 : x
  2. Step 2: Convert to fraction form
    6,580/9,871.56 = 1,963.12/x
  3. Step 3: Cross multiply
    6,580x = 9,871.56 × 1,963.12
  4. Step 4: Simplify right side
    6,580x = 19,379,056.87
  5. Step 5: Solve for x
    x = 19,379,056.87/6,580
  6. Step 6: Final answer
    x = 2,945.15

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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.