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Finding the Fourth Proportional to 3,953.84, 5,931.83 and 1,612.40

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Solution

The fourth proportional to 3,953.84, 5,931.83 and 1,612.40 is: 2,419.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.84 : 5,931.83 = 1,612.40 : x
  2. Step 2: Convert to fraction form
    3,953.84/5,931.83 = 1,612.40/x
  3. Step 3: Cross multiply
    3,953.84x = 5,931.83 × 1,612.40
  4. Step 4: Simplify right side
    3,953.84x = 9,564,457.06
  5. Step 5: Solve for x
    x = 9,564,457.06/3,953.84
  6. Step 6: Final answer
    x = 2,419.03

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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.