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Finding the Fourth Proportional to 1,510.62, 2,082.84 and 1,230.26

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Solution

The fourth proportional to 1,510.62, 2,082.84 and 1,230.26 is: 1,696.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.62 : 2,082.84 = 1,230.26 : x
  2. Step 2: Convert to fraction form
    1,510.62/2,082.84 = 1,230.26/x
  3. Step 3: Cross multiply
    1,510.62x = 2,082.84 × 1,230.26
  4. Step 4: Simplify right side
    1,510.62x = 2,562,434.74
  5. Step 5: Solve for x
    x = 2,562,434.74/1,510.62
  6. Step 6: Final answer
    x = 1,696.28

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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.