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Finding the Fourth Proportional to 3,539.54, 5,306.88 and 1,564.22

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Solution

The fourth proportional to 3,539.54, 5,306.88 and 1,564.22 is: 2,345.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.54 : 5,306.88 = 1,564.22 : x
  2. Step 2: Convert to fraction form
    3,539.54/5,306.88 = 1,564.22/x
  3. Step 3: Cross multiply
    3,539.54x = 5,306.88 × 1,564.22
  4. Step 4: Simplify right side
    3,539.54x = 8,301,127.83
  5. Step 5: Solve for x
    x = 8,301,127.83/3,539.54
  6. Step 6: Final answer
    x = 2,345.26

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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.