Home / 1,509.23-2,082.65-846.08

Finding the Fourth Proportional to 1,509.23, 2,082.65 and 846.08

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Solution

The fourth proportional to 1,509.23, 2,082.65 and 846.08 is: 1,167.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.23 : 2,082.65 = 846.08 : x
  2. Step 2: Convert to fraction form
    1,509.23/2,082.65 = 846.08/x
  3. Step 3: Cross multiply
    1,509.23x = 2,082.65 × 846.08
  4. Step 4: Simplify right side
    1,509.23x = 1,762,081.68
  5. Step 5: Solve for x
    x = 1,762,081.68/1,509.23
  6. Step 6: Final answer
    x = 1,167.53

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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.