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Finding the Fourth Proportional to 1,580.80, 2,365.80 and 1,386.40

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Solution

The fourth proportional to 1,580.80, 2,365.80 and 1,386.40 is: 2,074.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.80 : 2,365.80 = 1,386.40 : x
  2. Step 2: Convert to fraction form
    1,580.80/2,365.80 = 1,386.40/x
  3. Step 3: Cross multiply
    1,580.80x = 2,365.80 × 1,386.40
  4. Step 4: Simplify right side
    1,580.80x = 3,279,945.12
  5. Step 5: Solve for x
    x = 3,279,945.12/1,580.80
  6. Step 6: Final answer
    x = 2,074.86

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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.