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Finding the Fourth Proportional to 1,973.04, 2,955.30 and 931.47

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Solution

The fourth proportional to 1,973.04, 2,955.30 and 931.47 is: 1,395.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.04 : 2,955.30 = 931.47 : x
  2. Step 2: Convert to fraction form
    1,973.04/2,955.30 = 931.47/x
  3. Step 3: Cross multiply
    1,973.04x = 2,955.30 × 931.47
  4. Step 4: Simplify right side
    1,973.04x = 2,752,773.29
  5. Step 5: Solve for x
    x = 2,752,773.29/1,973.04
  6. Step 6: Final answer
    x = 1,395.19

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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.