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Finding the Fourth Proportional to 5,430.32, 7,493.83 and 2,946.32

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Solution

The fourth proportional to 5,430.32, 7,493.83 and 2,946.32 is: 4,065.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,430.32 : 7,493.83 = 2,946.32 : x
  2. Step 2: Convert to fraction form
    5,430.32/7,493.83 = 2,946.32/x
  3. Step 3: Cross multiply
    5,430.32x = 7,493.83 × 2,946.32
  4. Step 4: Simplify right side
    5,430.32x = 22,079,183.74
  5. Step 5: Solve for x
    x = 22,079,183.74/5,430.32
  6. Step 6: Final answer
    x = 4,065.91

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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.