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Finding the Fourth Proportional to 3,840.68, 5,300.16 and 2,184.68

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Solution

The fourth proportional to 3,840.68, 5,300.16 and 2,184.68 is: 3,014.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.68 : 5,300.16 = 2,184.68 : x
  2. Step 2: Convert to fraction form
    3,840.68/5,300.16 = 2,184.68/x
  3. Step 3: Cross multiply
    3,840.68x = 5,300.16 × 2,184.68
  4. Step 4: Simplify right side
    3,840.68x = 11,579,153.55
  5. Step 5: Solve for x
    x = 11,579,153.55/3,840.68
  6. Step 6: Final answer
    x = 3,014.87

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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.