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Finding the Fourth Proportional to 1,621.09, 2,427.98 and 970.45

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Solution

The fourth proportional to 1,621.09, 2,427.98 and 970.45 is: 1,453.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,621.09 : 2,427.98 = 970.45 : x
  2. Step 2: Convert to fraction form
    1,621.09/2,427.98 = 970.45/x
  3. Step 3: Cross multiply
    1,621.09x = 2,427.98 × 970.45
  4. Step 4: Simplify right side
    1,621.09x = 2,356,228.34
  5. Step 5: Solve for x
    x = 2,356,228.34/1,621.09
  6. Step 6: Final answer
    x = 1,453.48

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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.