Home / 1,535.37-2,303.02-919.24

Finding the Fourth Proportional to 1,535.37, 2,303.02 and 919.24

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Solution

The fourth proportional to 1,535.37, 2,303.02 and 919.24 is: 1,378.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.37 : 2,303.02 = 919.24 : x
  2. Step 2: Convert to fraction form
    1,535.37/2,303.02 = 919.24/x
  3. Step 3: Cross multiply
    1,535.37x = 2,303.02 × 919.24
  4. Step 4: Simplify right side
    1,535.37x = 2,117,028.10
  5. Step 5: Solve for x
    x = 2,117,028.10/1,535.37
  6. Step 6: Final answer
    x = 1,378.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.