Home / 1,582.14-2,359.40-1,507.62

Finding the Fourth Proportional to 1,582.14, 2,359.40 and 1,507.62

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Solution

The fourth proportional to 1,582.14, 2,359.40 and 1,507.62 is: 2,248.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.14 : 2,359.40 = 1,507.62 : x
  2. Step 2: Convert to fraction form
    1,582.14/2,359.40 = 1,507.62/x
  3. Step 3: Cross multiply
    1,582.14x = 2,359.40 × 1,507.62
  4. Step 4: Simplify right side
    1,582.14x = 3,557,071.09
  5. Step 5: Solve for x
    x = 3,557,071.09/1,582.14
  6. Step 6: Final answer
    x = 2,248.27

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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.