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Finding the Fourth Proportional to 2,953.24, 4,430.09 and 978.79

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Solution

The fourth proportional to 2,953.24, 4,430.09 and 978.79 is: 1,468.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.24 : 4,430.09 = 978.79 : x
  2. Step 2: Convert to fraction form
    2,953.24/4,430.09 = 978.79/x
  3. Step 3: Cross multiply
    2,953.24x = 4,430.09 × 978.79
  4. Step 4: Simplify right side
    2,953.24x = 4,336,127.79
  5. Step 5: Solve for x
    x = 4,336,127.79/2,953.24
  6. Step 6: Final answer
    x = 1,468.26

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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.