Home / 1,536.99-2,120.09-1,165.40

Finding the Fourth Proportional to 1,536.99, 2,120.09 and 1,165.40

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Solution

The fourth proportional to 1,536.99, 2,120.09 and 1,165.40 is: 1,607.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.99 : 2,120.09 = 1,165.40 : x
  2. Step 2: Convert to fraction form
    1,536.99/2,120.09 = 1,165.40/x
  3. Step 3: Cross multiply
    1,536.99x = 2,120.09 × 1,165.40
  4. Step 4: Simplify right side
    1,536.99x = 2,470,752.89
  5. Step 5: Solve for x
    x = 2,470,752.89/1,536.99
  6. Step 6: Final answer
    x = 1,607.53

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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.