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Finding the Fourth Proportional to 2,652.51, 3,980.37 and 922.35

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Solution

The fourth proportional to 2,652.51, 3,980.37 and 922.35 is: 1,384.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.51 : 3,980.37 = 922.35 : x
  2. Step 2: Convert to fraction form
    2,652.51/3,980.37 = 922.35/x
  3. Step 3: Cross multiply
    2,652.51x = 3,980.37 × 922.35
  4. Step 4: Simplify right side
    2,652.51x = 3,671,289.66
  5. Step 5: Solve for x
    x = 3,671,289.66/2,652.51
  6. Step 6: Final answer
    x = 1,384.08

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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.