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Finding the Fourth Proportional to 7,954.80, 10,970.30 and 5,406.37

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Solution

The fourth proportional to 7,954.80, 10,970.30 and 5,406.37 is: 7,455.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954.80 : 10,970.30 = 5,406.37 : x
  2. Step 2: Convert to fraction form
    7,954.80/10,970.30 = 5,406.37/x
  3. Step 3: Cross multiply
    7,954.80x = 10,970.30 × 5,406.37
  4. Step 4: Simplify right side
    7,954.80x = 59,309,500.81
  5. Step 5: Solve for x
    x = 59,309,500.81/7,954.80
  6. Step 6: Final answer
    x = 7,455.81

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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.