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Finding the Fourth Proportional to 5,746.68, 8,615.40 and 5,420.76

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Solution

The fourth proportional to 5,746.68, 8,615.40 and 5,420.76 is: 8,126.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.68 : 8,615.40 = 5,420.76 : x
  2. Step 2: Convert to fraction form
    5,746.68/8,615.40 = 5,420.76/x
  3. Step 3: Cross multiply
    5,746.68x = 8,615.40 × 5,420.76
  4. Step 4: Simplify right side
    5,746.68x = 46,702,015.70
  5. Step 5: Solve for x
    x = 46,702,015.70/5,746.68
  6. Step 6: Final answer
    x = 8,126.78

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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.