Home / 1,972.31-2,956.63-1,564.07

Finding the Fourth Proportional to 1,972.31, 2,956.63 and 1,564.07

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Solution

The fourth proportional to 1,972.31, 2,956.63 and 1,564.07 is: 2,344.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.31 : 2,956.63 = 1,564.07 : x
  2. Step 2: Convert to fraction form
    1,972.31/2,956.63 = 1,564.07/x
  3. Step 3: Cross multiply
    1,972.31x = 2,956.63 × 1,564.07
  4. Step 4: Simplify right side
    1,972.31x = 4,624,376.28
  5. Step 5: Solve for x
    x = 4,624,376.28/1,972.31
  6. Step 6: Final answer
    x = 2,344.65

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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.