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Finding the Fourth Proportional to 5,309.04, 7,964.82 and 1,611.48

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Solution

The fourth proportional to 5,309.04, 7,964.82 and 1,611.48 is: 2,417.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.04 : 7,964.82 = 1,611.48 : x
  2. Step 2: Convert to fraction form
    5,309.04/7,964.82 = 1,611.48/x
  3. Step 3: Cross multiply
    5,309.04x = 7,964.82 × 1,611.48
  4. Step 4: Simplify right side
    5,309.04x = 12,835,148.13
  5. Step 5: Solve for x
    x = 12,835,148.13/5,309.04
  6. Step 6: Final answer
    x = 2,417.60

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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.