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Finding the Fourth Proportional to 6,442.16, 9,661.72 and 1,761.06

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Solution

The fourth proportional to 6,442.16, 9,661.72 and 1,761.06 is: 2,641.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.16 : 9,661.72 = 1,761.06 : x
  2. Step 2: Convert to fraction form
    6,442.16/9,661.72 = 1,761.06/x
  3. Step 3: Cross multiply
    6,442.16x = 9,661.72 × 1,761.06
  4. Step 4: Simplify right side
    6,442.16x = 17,014,868.62
  5. Step 5: Solve for x
    x = 17,014,868.62/6,442.16
  6. Step 6: Final answer
    x = 2,641.17

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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.