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Finding the Fourth Proportional to 1,968.64, 2,715.20 and 1,339.64

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Solution

The fourth proportional to 1,968.64, 2,715.20 and 1,339.64 is: 1,847.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.64 : 2,715.20 = 1,339.64 : x
  2. Step 2: Convert to fraction form
    1,968.64/2,715.20 = 1,339.64/x
  3. Step 3: Cross multiply
    1,968.64x = 2,715.20 × 1,339.64
  4. Step 4: Simplify right side
    1,968.64x = 3,637,390.53
  5. Step 5: Solve for x
    x = 3,637,390.53/1,968.64
  6. Step 6: Final answer
    x = 1,847.67

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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.