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Finding the Fourth Proportional to 7,143.32, 9,835.43 and 6,487.22

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Solution

The fourth proportional to 7,143.32, 9,835.43 and 6,487.22 is: 8,932.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.32 : 9,835.43 = 6,487.22 : x
  2. Step 2: Convert to fraction form
    7,143.32/9,835.43 = 6,487.22/x
  3. Step 3: Cross multiply
    7,143.32x = 9,835.43 × 6,487.22
  4. Step 4: Simplify right side
    7,143.32x = 63,804,590.36
  5. Step 5: Solve for x
    x = 63,804,590.36/7,143.32
  6. Step 6: Final answer
    x = 8,932.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.