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Finding the Fourth Proportional to 28,602.59, 42,904.17 and 7,826.09

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Solution

The fourth proportional to 28,602.59, 42,904.17 and 7,826.09 is: 11,739.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,602.59 : 42,904.17 = 7,826.09 : x
  2. Step 2: Convert to fraction form
    28,602.59/42,904.17 = 7,826.09/x
  3. Step 3: Cross multiply
    28,602.59x = 42,904.17 × 7,826.09
  4. Step 4: Simplify right side
    28,602.59x = 335,771,681.27
  5. Step 5: Solve for x
    x = 335,771,681.27/28,602.59
  6. Step 6: Final answer
    x = 11,739.21

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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.