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Finding the Fourth Proportional to 15,666.84, 21,626.46 and 9,378

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Solution

The fourth proportional to 15,666.84, 21,626.46 and 9,378 is: 12,945.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,666.84 : 21,626.46 = 9,378 : x
  2. Step 2: Convert to fraction form
    15,666.84/21,626.46 = 9,378/x
  3. Step 3: Cross multiply
    15,666.84x = 21,626.46 × 9,378
  4. Step 4: Simplify right side
    15,666.84x = 202,812,941.88
  5. Step 5: Solve for x
    x = 202,812,941.88/15,666.84
  6. Step 6: Final answer
    x = 12,945.36

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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.