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Finding the Fourth Proportional to 28,005.82, 42,011.97 and 9,287.50

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Solution

The fourth proportional to 28,005.82, 42,011.97 and 9,287.50 is: 13,932.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,005.82 : 42,011.97 = 9,287.50 : x
  2. Step 2: Convert to fraction form
    28,005.82/42,011.97 = 9,287.50/x
  3. Step 3: Cross multiply
    28,005.82x = 42,011.97 × 9,287.50
  4. Step 4: Simplify right side
    28,005.82x = 390,186,171.38
  5. Step 5: Solve for x
    x = 390,186,171.38/28,005.82
  6. Step 6: Final answer
    x = 13,932.32

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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.