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Finding the Fourth Proportional to 2,300, 3,441.36 and 1,430.24

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Solution

The fourth proportional to 2,300, 3,441.36 and 1,430.24 is: 2,139.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300 : 3,441.36 = 1,430.24 : x
  2. Step 2: Convert to fraction form
    2,300/3,441.36 = 1,430.24/x
  3. Step 3: Cross multiply
    2,300x = 3,441.36 × 1,430.24
  4. Step 4: Simplify right side
    2,300x = 4,921,970.73
  5. Step 5: Solve for x
    x = 4,921,970.73/2,300
  6. Step 6: Final answer
    x = 2,139.99

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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.