Home / 1,527.29-2,107.67-828.67

Finding the Fourth Proportional to 1,527.29, 2,107.67 and 828.67

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Solution

The fourth proportional to 1,527.29, 2,107.67 and 828.67 is: 1,143.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.29 : 2,107.67 = 828.67 : x
  2. Step 2: Convert to fraction form
    1,527.29/2,107.67 = 828.67/x
  3. Step 3: Cross multiply
    1,527.29x = 2,107.67 × 828.67
  4. Step 4: Simplify right side
    1,527.29x = 1,746,558.76
  5. Step 5: Solve for x
    x = 1,746,558.76/1,527.29
  6. Step 6: Final answer
    x = 1,143.57

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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.