Home / 1,141-1,582.99-1,130.20

Finding the Fourth Proportional to 1,141, 1,582.99 and 1,130.20

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Solution

The fourth proportional to 1,141, 1,582.99 and 1,130.20 is: 1,568.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141 : 1,582.99 = 1,130.20 : x
  2. Step 2: Convert to fraction form
    1,141/1,582.99 = 1,130.20/x
  3. Step 3: Cross multiply
    1,141x = 1,582.99 × 1,130.20
  4. Step 4: Simplify right side
    1,141x = 1,789,095.30
  5. Step 5: Solve for x
    x = 1,789,095.30/1,141
  6. Step 6: Final answer
    x = 1,568.01

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.