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Finding the Fourth Proportional to 5,164.36, 7,746.45 and 1,268.80

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Solution

The fourth proportional to 5,164.36, 7,746.45 and 1,268.80 is: 1,903.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.36 : 7,746.45 = 1,268.80 : x
  2. Step 2: Convert to fraction form
    5,164.36/7,746.45 = 1,268.80/x
  3. Step 3: Cross multiply
    5,164.36x = 7,746.45 × 1,268.80
  4. Step 4: Simplify right side
    5,164.36x = 9,828,695.76
  5. Step 5: Solve for x
    x = 9,828,695.76/5,164.36
  6. Step 6: Final answer
    x = 1,903.18

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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.