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Finding the Fourth Proportional to 2,586.68, 3,880.68 and 1,287.16

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Solution

The fourth proportional to 2,586.68, 3,880.68 and 1,287.16 is: 1,931.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.68 : 3,880.68 = 1,287.16 : x
  2. Step 2: Convert to fraction form
    2,586.68/3,880.68 = 1,287.16/x
  3. Step 3: Cross multiply
    2,586.68x = 3,880.68 × 1,287.16
  4. Step 4: Simplify right side
    2,586.68x = 4,995,056.07
  5. Step 5: Solve for x
    x = 4,995,056.07/2,586.68
  6. Step 6: Final answer
    x = 1,931.07

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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.