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Finding the Fourth Proportional to 7,315.70, 10,970.20 and 3,153.72

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Solution

The fourth proportional to 7,315.70, 10,970.20 and 3,153.72 is: 4,729.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,315.70 : 10,970.20 = 3,153.72 : x
  2. Step 2: Convert to fraction form
    7,315.70/10,970.20 = 3,153.72/x
  3. Step 3: Cross multiply
    7,315.70x = 10,970.20 × 3,153.72
  4. Step 4: Simplify right side
    7,315.70x = 34,596,939.14
  5. Step 5: Solve for x
    x = 34,596,939.14/7,315.70
  6. Step 6: Final answer
    x = 4,729.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.