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Finding the Fourth Proportional to 20,535.42, 30,803.04 and 4,953

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Solution

The fourth proportional to 20,535.42, 30,803.04 and 4,953 is: 7,429.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,535.42 : 30,803.04 = 4,953 : x
  2. Step 2: Convert to fraction form
    20,535.42/30,803.04 = 4,953/x
  3. Step 3: Cross multiply
    20,535.42x = 30,803.04 × 4,953
  4. Step 4: Simplify right side
    20,535.42x = 152,567,457.12
  5. Step 5: Solve for x
    x = 152,567,457.12/20,535.42
  6. Step 6: Final answer
    x = 7,429.48

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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.