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Finding the Fourth Proportional to 1,970.66, 2,953.32 and 1,093.12

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Solution

The fourth proportional to 1,970.66, 2,953.32 and 1,093.12 is: 1,638.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.66 : 2,953.32 = 1,093.12 : x
  2. Step 2: Convert to fraction form
    1,970.66/2,953.32 = 1,093.12/x
  3. Step 3: Cross multiply
    1,970.66x = 2,953.32 × 1,093.12
  4. Step 4: Simplify right side
    1,970.66x = 3,228,333.16
  5. Step 5: Solve for x
    x = 3,228,333.16/1,970.66
  6. Step 6: Final answer
    x = 1,638.20

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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.