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Finding the Fourth Proportional to 1,803.54, 2,485.54 and 1,470.90

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Solution

The fourth proportional to 1,803.54, 2,485.54 and 1,470.90 is: 2,027.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.54 : 2,485.54 = 1,470.90 : x
  2. Step 2: Convert to fraction form
    1,803.54/2,485.54 = 1,470.90/x
  3. Step 3: Cross multiply
    1,803.54x = 2,485.54 × 1,470.90
  4. Step 4: Simplify right side
    1,803.54x = 3,655,980.79
  5. Step 5: Solve for x
    x = 3,655,980.79/1,803.54
  6. Step 6: Final answer
    x = 2,027.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.