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Finding the Fourth Proportional to 7,955.30, 10,970.99 and 5,406.87

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Solution

The fourth proportional to 7,955.30, 10,970.99 and 5,406.87 is: 7,456.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,955.30 : 10,970.99 = 5,406.87 : x
  2. Step 2: Convert to fraction form
    7,955.30/10,970.99 = 5,406.87/x
  3. Step 3: Cross multiply
    7,955.30x = 10,970.99 × 5,406.87
  4. Step 4: Simplify right side
    7,955.30x = 59,318,716.70
  5. Step 5: Solve for x
    x = 59,318,716.70/7,955.30
  6. Step 6: Final answer
    x = 7,456.50

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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.