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Finding the Fourth Proportional to 7,407, 10,220.78 and 4,220.31

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Solution

The fourth proportional to 7,407, 10,220.78 and 4,220.31 is: 5,823.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,407 : 10,220.78 = 4,220.31 : x
  2. Step 2: Convert to fraction form
    7,407/10,220.78 = 4,220.31/x
  3. Step 3: Cross multiply
    7,407x = 10,220.78 × 4,220.31
  4. Step 4: Simplify right side
    7,407x = 43,134,838.94
  5. Step 5: Solve for x
    x = 43,134,838.94/7,407
  6. Step 6: Final answer
    x = 5,823.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.