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Finding the Fourth Proportional to 1,946.60, 2,918.82 and 647.96

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Solution

The fourth proportional to 1,946.60, 2,918.82 and 647.96 is: 971.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.60 : 2,918.82 = 647.96 : x
  2. Step 2: Convert to fraction form
    1,946.60/2,918.82 = 647.96/x
  3. Step 3: Cross multiply
    1,946.60x = 2,918.82 × 647.96
  4. Step 4: Simplify right side
    1,946.60x = 1,891,278.61
  5. Step 5: Solve for x
    x = 1,891,278.61/1,946.60
  6. Step 6: Final answer
    x = 971.58

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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.