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Finding the Fourth Proportional to 9,820.29, 14,728.29 and 2,800.23

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Solution

The fourth proportional to 9,820.29, 14,728.29 and 2,800.23 is: 4,199.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.29 : 14,728.29 = 2,800.23 : x
  2. Step 2: Convert to fraction form
    9,820.29/14,728.29 = 2,800.23/x
  3. Step 3: Cross multiply
    9,820.29x = 14,728.29 × 2,800.23
  4. Step 4: Simplify right side
    9,820.29x = 41,242,599.51
  5. Step 5: Solve for x
    x = 41,242,599.51/9,820.29
  6. Step 6: Final answer
    x = 4,199.73

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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.