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Finding the Fourth Proportional to 5,152.09, 7,728.19 and 1,256.50

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Solution

The fourth proportional to 5,152.09, 7,728.19 and 1,256.50 is: 1,884.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.09 : 7,728.19 = 1,256.50 : x
  2. Step 2: Convert to fraction form
    5,152.09/7,728.19 = 1,256.50/x
  3. Step 3: Cross multiply
    5,152.09x = 7,728.19 × 1,256.50
  4. Step 4: Simplify right side
    5,152.09x = 9,710,470.74
  5. Step 5: Solve for x
    x = 9,710,470.74/5,152.09
  6. Step 6: Final answer
    x = 1,884.76

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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.