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Finding the Fourth Proportional to 7,973.70, 12,020.28 and 7,438.49

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Solution

The fourth proportional to 7,973.70, 12,020.28 and 7,438.49 is: 11,213.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,973.70 : 12,020.28 = 7,438.49 : x
  2. Step 2: Convert to fraction form
    7,973.70/12,020.28 = 7,438.49/x
  3. Step 3: Cross multiply
    7,973.70x = 12,020.28 × 7,438.49
  4. Step 4: Simplify right side
    7,973.70x = 89,412,762.63
  5. Step 5: Solve for x
    x = 89,412,762.63/7,973.70
  6. Step 6: Final answer
    x = 11,213.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.