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Finding the Fourth Proportional to 2,974.51, 4,461.43 and 783.41

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Solution

The fourth proportional to 2,974.51, 4,461.43 and 783.41 is: 1,175.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.51 : 4,461.43 = 783.41 : x
  2. Step 2: Convert to fraction form
    2,974.51/4,461.43 = 783.41/x
  3. Step 3: Cross multiply
    2,974.51x = 4,461.43 × 783.41
  4. Step 4: Simplify right side
    2,974.51x = 3,495,141.01
  5. Step 5: Solve for x
    x = 3,495,141.01/2,974.51
  6. Step 6: Final answer
    x = 1,175.03

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1.5x scale

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.