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Finding the Fourth Proportional to 2,210.85, 3,051 and 1,216.17

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Solution

The fourth proportional to 2,210.85, 3,051 and 1,216.17 is: 1,678.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.85 : 3,051 = 1,216.17 : x
  2. Step 2: Convert to fraction form
    2,210.85/3,051 = 1,216.17/x
  3. Step 3: Cross multiply
    2,210.85x = 3,051 × 1,216.17
  4. Step 4: Simplify right side
    2,210.85x = 3,710,534.67
  5. Step 5: Solve for x
    x = 3,710,534.67/2,210.85
  6. Step 6: Final answer
    x = 1,678.33

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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.