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Finding the Fourth Proportional to 2,202, 3,038.76 and 2,016.11

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Solution

The fourth proportional to 2,202, 3,038.76 and 2,016.11 is: 2,782.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202 : 3,038.76 = 2,016.11 : x
  2. Step 2: Convert to fraction form
    2,202/3,038.76 = 2,016.11/x
  3. Step 3: Cross multiply
    2,202x = 3,038.76 × 2,016.11
  4. Step 4: Simplify right side
    2,202x = 6,126,459.23
  5. Step 5: Solve for x
    x = 6,126,459.23/2,202
  6. Step 6: Final answer
    x = 2,782.22

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1.5x scale

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.