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Finding the Fourth Proportional to 5,659.84, 7,810.72 and 3,421.76

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Solution

The fourth proportional to 5,659.84, 7,810.72 and 3,421.76 is: 4,722.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.84 : 7,810.72 = 3,421.76 : x
  2. Step 2: Convert to fraction form
    5,659.84/7,810.72 = 3,421.76/x
  3. Step 3: Cross multiply
    5,659.84x = 7,810.72 × 3,421.76
  4. Step 4: Simplify right side
    5,659.84x = 26,726,409.27
  5. Step 5: Solve for x
    x = 26,726,409.27/5,659.84
  6. Step 6: Final answer
    x = 4,722.11

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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.