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Finding the Fourth Proportional to 1,945.84, 2,918.85 and 647.29

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Solution

The fourth proportional to 1,945.84, 2,918.85 and 647.29 is: 970.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.84 : 2,918.85 = 647.29 : x
  2. Step 2: Convert to fraction form
    1,945.84/2,918.85 = 647.29/x
  3. Step 3: Cross multiply
    1,945.84x = 2,918.85 × 647.29
  4. Step 4: Simplify right side
    1,945.84x = 1,889,342.42
  5. Step 5: Solve for x
    x = 1,889,342.42/1,945.84
  6. Step 6: Final answer
    x = 970.96

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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.