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Finding the Fourth Proportional to 2,430.32, 3,645.29 and 651.24

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Solution

The fourth proportional to 2,430.32, 3,645.29 and 651.24 is: 976.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.32 : 3,645.29 = 651.24 : x
  2. Step 2: Convert to fraction form
    2,430.32/3,645.29 = 651.24/x
  3. Step 3: Cross multiply
    2,430.32x = 3,645.29 × 651.24
  4. Step 4: Simplify right side
    2,430.32x = 2,373,956.62
  5. Step 5: Solve for x
    x = 2,373,956.62/2,430.32
  6. Step 6: Final answer
    x = 976.81

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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.