Home / 1,535.34-2,119.56-946.20

Finding the Fourth Proportional to 1,535.34, 2,119.56 and 946.20

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Solution

The fourth proportional to 1,535.34, 2,119.56 and 946.20 is: 1,306.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.34 : 2,119.56 = 946.20 : x
  2. Step 2: Convert to fraction form
    1,535.34/2,119.56 = 946.20/x
  3. Step 3: Cross multiply
    1,535.34x = 2,119.56 × 946.20
  4. Step 4: Simplify right side
    1,535.34x = 2,005,527.67
  5. Step 5: Solve for x
    x = 2,005,527.67/1,535.34
  6. Step 6: Final answer
    x = 1,306.24

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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.