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Finding the Fourth Proportional to 15,747, 21,730.16 and 8,576.94

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Solution

The fourth proportional to 15,747, 21,730.16 and 8,576.94 is: 11,835.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,747 : 21,730.16 = 8,576.94 : x
  2. Step 2: Convert to fraction form
    15,747/21,730.16 = 8,576.94/x
  3. Step 3: Cross multiply
    15,747x = 21,730.16 × 8,576.94
  4. Step 4: Simplify right side
    15,747x = 186,378,278.51
  5. Step 5: Solve for x
    x = 186,378,278.51/15,747
  6. Step 6: Final answer
    x = 11,835.80

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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.