Home / 1,509.28-2,082.44-846.16

Finding the Fourth Proportional to 1,509.28, 2,082.44 and 846.16

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Solution

The fourth proportional to 1,509.28, 2,082.44 and 846.16 is: 1,167.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.28 : 2,082.44 = 846.16 : x
  2. Step 2: Convert to fraction form
    1,509.28/2,082.44 = 846.16/x
  3. Step 3: Cross multiply
    1,509.28x = 2,082.44 × 846.16
  4. Step 4: Simplify right side
    1,509.28x = 1,762,077.43
  5. Step 5: Solve for x
    x = 1,762,077.43/1,509.28
  6. Step 6: Final answer
    x = 1,167.50

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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.