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Finding the Fourth Proportional to 2,430.68, 3,645.12 and 870.44

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Solution

The fourth proportional to 2,430.68, 3,645.12 and 870.44 is: 1,305.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.68 : 3,645.12 = 870.44 : x
  2. Step 2: Convert to fraction form
    2,430.68/3,645.12 = 870.44/x
  3. Step 3: Cross multiply
    2,430.68x = 3,645.12 × 870.44
  4. Step 4: Simplify right side
    2,430.68x = 3,172,858.25
  5. Step 5: Solve for x
    x = 3,172,858.25/2,430.68
  6. Step 6: Final answer
    x = 1,305.34

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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.