Home / 1,582.23-2,368.17-1,430.66

Finding the Fourth Proportional to 1,582.23, 2,368.17 and 1,430.66

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Solution

The fourth proportional to 1,582.23, 2,368.17 and 1,430.66 is: 2,141.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.23 : 2,368.17 = 1,430.66 : x
  2. Step 2: Convert to fraction form
    1,582.23/2,368.17 = 1,430.66/x
  3. Step 3: Cross multiply
    1,582.23x = 2,368.17 × 1,430.66
  4. Step 4: Simplify right side
    1,582.23x = 3,388,034.25
  5. Step 5: Solve for x
    x = 3,388,034.25/1,582.23
  6. Step 6: Final answer
    x = 2,141.30

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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.