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Finding the Fourth Proportional to 6,271, 9,406.56 and 1,888.36

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Solution

The fourth proportional to 6,271, 9,406.56 and 1,888.36 is: 2,832.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271 : 9,406.56 = 1,888.36 : x
  2. Step 2: Convert to fraction form
    6,271/9,406.56 = 1,888.36/x
  3. Step 3: Cross multiply
    6,271x = 9,406.56 × 1,888.36
  4. Step 4: Simplify right side
    6,271x = 17,762,971.64
  5. Step 5: Solve for x
    x = 17,762,971.64/6,271
  6. Step 6: Final answer
    x = 2,832.56

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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.