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Finding the Fourth Proportional to 10,164.16, 14,024.28 and 6,436

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Solution

The fourth proportional to 10,164.16, 14,024.28 and 6,436 is: 8,880.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,164.16 : 14,024.28 = 6,436 : x
  2. Step 2: Convert to fraction form
    10,164.16/14,024.28 = 6,436/x
  3. Step 3: Cross multiply
    10,164.16x = 14,024.28 × 6,436
  4. Step 4: Simplify right side
    10,164.16x = 90,260,266.08
  5. Step 5: Solve for x
    x = 90,260,266.08/10,164.16
  6. Step 6: Final answer
    x = 8,880.25

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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.