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Finding the Fourth Proportional to 5,152.59, 7,728.86 and 1,256.99

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Solution

The fourth proportional to 5,152.59, 7,728.86 and 1,256.99 is: 1,885.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.59 : 7,728.86 = 1,256.99 : x
  2. Step 2: Convert to fraction form
    5,152.59/7,728.86 = 1,256.99/x
  3. Step 3: Cross multiply
    5,152.59x = 7,728.86 × 1,256.99
  4. Step 4: Simplify right side
    5,152.59x = 9,715,064.23
  5. Step 5: Solve for x
    x = 9,715,064.23/5,152.59
  6. Step 6: Final answer
    x = 1,885.47

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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.