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Finding the Fourth Proportional to 2,969.16, 4,454.80 and 1,021.51

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Solution

The fourth proportional to 2,969.16, 4,454.80 and 1,021.51 is: 1,532.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.16 : 4,454.80 = 1,021.51 : x
  2. Step 2: Convert to fraction form
    2,969.16/4,454.80 = 1,021.51/x
  3. Step 3: Cross multiply
    2,969.16x = 4,454.80 × 1,021.51
  4. Step 4: Simplify right side
    2,969.16x = 4,550,625.76
  5. Step 5: Solve for x
    x = 4,550,625.76/2,969.16
  6. Step 6: Final answer
    x = 1,532.63

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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.