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Finding the Fourth Proportional to 10,154.84, 14,013.86 and 5,679.08

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Solution

The fourth proportional to 10,154.84, 14,013.86 and 5,679.08 is: 7,837.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,154.84 : 14,013.86 = 5,679.08 : x
  2. Step 2: Convert to fraction form
    10,154.84/14,013.86 = 5,679.08/x
  3. Step 3: Cross multiply
    10,154.84x = 14,013.86 × 5,679.08
  4. Step 4: Simplify right side
    10,154.84x = 79,585,818.08
  5. Step 5: Solve for x
    x = 79,585,818.08/10,154.84
  6. Step 6: Final answer
    x = 7,837.23

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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.