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Finding the Fourth Proportional to 5,141.84, 7,709.88 and 1,678.16

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Solution

The fourth proportional to 5,141.84, 7,709.88 and 1,678.16 is: 2,516.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.84 : 7,709.88 = 1,678.16 : x
  2. Step 2: Convert to fraction form
    5,141.84/7,709.88 = 1,678.16/x
  3. Step 3: Cross multiply
    5,141.84x = 7,709.88 × 1,678.16
  4. Step 4: Simplify right side
    5,141.84x = 12,938,412.22
  5. Step 5: Solve for x
    x = 12,938,412.22/5,141.84
  6. Step 6: Final answer
    x = 2,516.30

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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.