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Finding the Fourth Proportional to 28,028, 42,048.66 and 9,560

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Solution

The fourth proportional to 28,028, 42,048.66 and 9,560 is: 14,342.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,028 : 42,048.66 = 9,560 : x
  2. Step 2: Convert to fraction form
    28,028/42,048.66 = 9,560/x
  3. Step 3: Cross multiply
    28,028x = 42,048.66 × 9,560
  4. Step 4: Simplify right side
    28,028x = 401,985,189.60
  5. Step 5: Solve for x
    x = 401,985,189.60/28,028
  6. Step 6: Final answer
    x = 14,342.27

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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.