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Finding the Fourth Proportional to 28,305.11, 42,457.61 and 7,528.61

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Solution

The fourth proportional to 28,305.11, 42,457.61 and 7,528.61 is: 11,292.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,305.11 : 42,457.61 = 7,528.61 : x
  2. Step 2: Convert to fraction form
    28,305.11/42,457.61 = 7,528.61/x
  3. Step 3: Cross multiply
    28,305.11x = 42,457.61 × 7,528.61
  4. Step 4: Simplify right side
    28,305.11x = 319,646,537.29
  5. Step 5: Solve for x
    x = 319,646,537.29/28,305.11
  6. Step 6: Final answer
    x = 11,292.89

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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.