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Finding the Fourth Proportional to 5,409, 7,465.50 and 3,051.18

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Solution

The fourth proportional to 5,409, 7,465.50 and 3,051.18 is: 4,211.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409 : 7,465.50 = 3,051.18 : x
  2. Step 2: Convert to fraction form
    5,409/7,465.50 = 3,051.18/x
  3. Step 3: Cross multiply
    5,409x = 7,465.50 × 3,051.18
  4. Step 4: Simplify right side
    5,409x = 22,778,584.29
  5. Step 5: Solve for x
    x = 22,778,584.29/5,409
  6. Step 6: Final answer
    x = 4,211.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.