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Finding the Fourth Proportional to 1,780.36, 2,670.80 and 1,202

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Solution

The fourth proportional to 1,780.36, 2,670.80 and 1,202 is: 1,803.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.36 : 2,670.80 = 1,202 : x
  2. Step 2: Convert to fraction form
    1,780.36/2,670.80 = 1,202/x
  3. Step 3: Cross multiply
    1,780.36x = 2,670.80 × 1,202
  4. Step 4: Simplify right side
    1,780.36x = 3,210,301.60
  5. Step 5: Solve for x
    x = 3,210,301.60/1,780.36
  6. Step 6: Final answer
    x = 1,803.18

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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.