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Finding the Fourth Proportional to 1,952.84, 2,930.42 and 783.10

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Solution

The fourth proportional to 1,952.84, 2,930.42 and 783.10 is: 1,175.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.84 : 2,930.42 = 783.10 : x
  2. Step 2: Convert to fraction form
    1,952.84/2,930.42 = 783.10/x
  3. Step 3: Cross multiply
    1,952.84x = 2,930.42 × 783.10
  4. Step 4: Simplify right side
    1,952.84x = 2,294,798.84
  5. Step 5: Solve for x
    x = 2,294,798.84/1,952.84
  6. Step 6: Final answer
    x = 1,175.11

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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.