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Finding the Fourth Proportional to 9,730.79, 14,600.23 and 4,800.49

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Solution

The fourth proportional to 9,730.79, 14,600.23 and 4,800.49 is: 7,202.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.79 : 14,600.23 = 4,800.49 : x
  2. Step 2: Convert to fraction form
    9,730.79/14,600.23 = 4,800.49/x
  3. Step 3: Cross multiply
    9,730.79x = 14,600.23 × 4,800.49
  4. Step 4: Simplify right side
    9,730.79x = 70,088,258.11
  5. Step 5: Solve for x
    x = 70,088,258.11/9,730.79
  6. Step 6: Final answer
    x = 7,202.73

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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.