Home / 1,409.18-2,113.97-946.85

Finding the Fourth Proportional to 1,409.18, 2,113.97 and 946.85

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Solution

The fourth proportional to 1,409.18, 2,113.97 and 946.85 is: 1,420.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.18 : 2,113.97 = 946.85 : x
  2. Step 2: Convert to fraction form
    1,409.18/2,113.97 = 946.85/x
  3. Step 3: Cross multiply
    1,409.18x = 2,113.97 × 946.85
  4. Step 4: Simplify right side
    1,409.18x = 2,001,597.19
  5. Step 5: Solve for x
    x = 2,001,597.19/1,409.18
  6. Step 6: Final answer
    x = 1,420.40

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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.