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Finding the Fourth Proportional to 2,368.81, 3,269.15 and 1,306.67

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Solution

The fourth proportional to 2,368.81, 3,269.15 and 1,306.67 is: 1,803.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.81 : 3,269.15 = 1,306.67 : x
  2. Step 2: Convert to fraction form
    2,368.81/3,269.15 = 1,306.67/x
  3. Step 3: Cross multiply
    2,368.81x = 3,269.15 × 1,306.67
  4. Step 4: Simplify right side
    2,368.81x = 4,271,701.87
  5. Step 5: Solve for x
    x = 4,271,701.87/2,368.81
  6. Step 6: Final answer
    x = 1,803.31

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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.