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Finding the Fourth Proportional to 5,421.84, 8,132.84 and 1,724.08

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Solution

The fourth proportional to 5,421.84, 8,132.84 and 1,724.08 is: 2,586.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,421.84 : 8,132.84 = 1,724.08 : x
  2. Step 2: Convert to fraction form
    5,421.84/8,132.84 = 1,724.08/x
  3. Step 3: Cross multiply
    5,421.84x = 8,132.84 × 1,724.08
  4. Step 4: Simplify right side
    5,421.84x = 14,021,666.79
  5. Step 5: Solve for x
    x = 14,021,666.79/5,421.84
  6. Step 6: Final answer
    x = 2,586.15

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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.