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Finding the Fourth Proportional to 2,430.36, 3,645.45 and 870.30

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Solution

The fourth proportional to 2,430.36, 3,645.45 and 870.30 is: 1,305.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.36 : 3,645.45 = 870.30 : x
  2. Step 2: Convert to fraction form
    2,430.36/3,645.45 = 870.30/x
  3. Step 3: Cross multiply
    2,430.36x = 3,645.45 × 870.30
  4. Step 4: Simplify right side
    2,430.36x = 3,172,635.14
  5. Step 5: Solve for x
    x = 3,172,635.14/2,430.36
  6. Step 6: Final answer
    x = 1,305.42

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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.