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Finding the Fourth Proportional to 3,259.36, 4,889 and 1,526.76

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Solution

The fourth proportional to 3,259.36, 4,889 and 1,526.76 is: 2,290.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.36 : 4,889 = 1,526.76 : x
  2. Step 2: Convert to fraction form
    3,259.36/4,889 = 1,526.76/x
  3. Step 3: Cross multiply
    3,259.36x = 4,889 × 1,526.76
  4. Step 4: Simplify right side
    3,259.36x = 7,464,329.64
  5. Step 5: Solve for x
    x = 7,464,329.64/3,259.36
  6. Step 6: Final answer
    x = 2,290.12

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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.