Home / 1,527.02-2,107.29-828.39

Finding the Fourth Proportional to 1,527.02, 2,107.29 and 828.39

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Solution

The fourth proportional to 1,527.02, 2,107.29 and 828.39 is: 1,143.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.02 : 2,107.29 = 828.39 : x
  2. Step 2: Convert to fraction form
    1,527.02/2,107.29 = 828.39/x
  3. Step 3: Cross multiply
    1,527.02x = 2,107.29 × 828.39
  4. Step 4: Simplify right side
    1,527.02x = 1,745,657.96
  5. Step 5: Solve for x
    x = 1,745,657.96/1,527.02
  6. Step 6: Final answer
    x = 1,143.18

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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.