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Finding the Fourth Proportional to 11,423, 17,141.80 and 6,228.88

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Solution

The fourth proportional to 11,423, 17,141.80 and 6,228.88 is: 9,347.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,423 : 17,141.80 = 6,228.88 : x
  2. Step 2: Convert to fraction form
    11,423/17,141.80 = 6,228.88/x
  3. Step 3: Cross multiply
    11,423x = 17,141.80 × 6,228.88
  4. Step 4: Simplify right side
    11,423x = 106,774,215.18
  5. Step 5: Solve for x
    x = 106,774,215.18/11,423
  6. Step 6: Final answer
    x = 9,347.30

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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.