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Finding the Fourth Proportional to 1,970.17, 2,699.53 and 1,941.01

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Solution

The fourth proportional to 1,970.17, 2,699.53 and 1,941.01 is: 2,659.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.17 : 2,699.53 = 1,941.01 : x
  2. Step 2: Convert to fraction form
    1,970.17/2,699.53 = 1,941.01/x
  3. Step 3: Cross multiply
    1,970.17x = 2,699.53 × 1,941.01
  4. Step 4: Simplify right side
    1,970.17x = 5,239,814.73
  5. Step 5: Solve for x
    x = 5,239,814.73/1,970.17
  6. Step 6: Final answer
    x = 2,659.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.