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Finding the Fourth Proportional to 7,401.78, 10,212.78 and 4,417.03

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Solution

The fourth proportional to 7,401.78, 10,212.78 and 4,417.03 is: 6,094.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,401.78 : 10,212.78 = 4,417.03 : x
  2. Step 2: Convert to fraction form
    7,401.78/10,212.78 = 4,417.03/x
  3. Step 3: Cross multiply
    7,401.78x = 10,212.78 × 4,417.03
  4. Step 4: Simplify right side
    7,401.78x = 45,110,184.97
  5. Step 5: Solve for x
    x = 45,110,184.97/7,401.78
  6. Step 6: Final answer
    x = 6,094.50

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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.