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Finding the Fourth Proportional to 1,510.99, 2,256.14 and 1,353.80

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Solution

The fourth proportional to 1,510.99, 2,256.14 and 1,353.80 is: 2,021.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.99 : 2,256.14 = 1,353.80 : x
  2. Step 2: Convert to fraction form
    1,510.99/2,256.14 = 1,353.80/x
  3. Step 3: Cross multiply
    1,510.99x = 2,256.14 × 1,353.80
  4. Step 4: Simplify right side
    1,510.99x = 3,054,362.33
  5. Step 5: Solve for x
    x = 3,054,362.33/1,510.99
  6. Step 6: Final answer
    x = 2,021.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.