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Finding the Fourth Proportional to 7,416.40, 10,281.46 and 7,021.84

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Solution

The fourth proportional to 7,416.40, 10,281.46 and 7,021.84 is: 9,734.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,416.40 : 10,281.46 = 7,021.84 : x
  2. Step 2: Convert to fraction form
    7,416.40/10,281.46 = 7,021.84/x
  3. Step 3: Cross multiply
    7,416.40x = 10,281.46 × 7,021.84
  4. Step 4: Simplify right side
    7,416.40x = 72,194,767.09
  5. Step 5: Solve for x
    x = 72,194,767.09/7,416.40
  6. Step 6: Final answer
    x = 9,734.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.