Home / 2,972.95-4,102.54-1,646.53

Finding the Fourth Proportional to 2,972.95, 4,102.54 and 1,646.53

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Solution

The fourth proportional to 2,972.95, 4,102.54 and 1,646.53 is: 2,272.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.95 : 4,102.54 = 1,646.53 : x
  2. Step 2: Convert to fraction form
    2,972.95/4,102.54 = 1,646.53/x
  3. Step 3: Cross multiply
    2,972.95x = 4,102.54 × 1,646.53
  4. Step 4: Simplify right side
    2,972.95x = 6,754,955.19
  5. Step 5: Solve for x
    x = 6,754,955.19/2,972.95
  6. Step 6: Final answer
    x = 2,272.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.