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Finding the Fourth Proportional to 1,536.75, 2,120.90 and 915.75

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Solution

The fourth proportional to 1,536.75, 2,120.90 and 915.75 is: 1,263.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.75 : 2,120.90 = 915.75 : x
  2. Step 2: Convert to fraction form
    1,536.75/2,120.90 = 915.75/x
  3. Step 3: Cross multiply
    1,536.75x = 2,120.90 × 915.75
  4. Step 4: Simplify right side
    1,536.75x = 1,942,209.60
  5. Step 5: Solve for x
    x = 1,942,209.60/1,536.75
  6. Step 6: Final answer
    x = 1,263.84

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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.