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Finding the Fourth Proportional to 5,162.71, 7,782.96 and 4,828.63

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Solution

The fourth proportional to 5,162.71, 7,782.96 and 4,828.63 is: 7,279.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.71 : 7,782.96 = 4,828.63 : x
  2. Step 2: Convert to fraction form
    5,162.71/7,782.96 = 4,828.63/x
  3. Step 3: Cross multiply
    5,162.71x = 7,782.96 × 4,828.63
  4. Step 4: Simplify right side
    5,162.71x = 37,581,034.14
  5. Step 5: Solve for x
    x = 37,581,034.14/5,162.71
  6. Step 6: Final answer
    x = 7,279.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.