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Finding the Fourth Proportional to 2,356.51, 3,535.80 and 970.90

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Solution

The fourth proportional to 2,356.51, 3,535.80 and 970.90 is: 1,456.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.51 : 3,535.80 = 970.90 : x
  2. Step 2: Convert to fraction form
    2,356.51/3,535.80 = 970.90/x
  3. Step 3: Cross multiply
    2,356.51x = 3,535.80 × 970.90
  4. Step 4: Simplify right side
    2,356.51x = 3,432,908.22
  5. Step 5: Solve for x
    x = 3,432,908.22/2,356.51
  6. Step 6: Final answer
    x = 1,456.78

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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.