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Finding the Fourth Proportional to 7,141, 9,858.90 and 4,661.32

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Solution

The fourth proportional to 7,141, 9,858.90 and 4,661.32 is: 6,435.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141 : 9,858.90 = 4,661.32 : x
  2. Step 2: Convert to fraction form
    7,141/9,858.90 = 4,661.32/x
  3. Step 3: Cross multiply
    7,141x = 9,858.90 × 4,661.32
  4. Step 4: Simplify right side
    7,141x = 45,955,487.75
  5. Step 5: Solve for x
    x = 45,955,487.75/7,141
  6. Step 6: Final answer
    x = 6,435.44

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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.