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Finding the Fourth Proportional to 28,005.32, 42,011.22 and 9,287

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Solution

The fourth proportional to 28,005.32, 42,011.22 and 9,287 is: 13,931.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,005.32 : 42,011.22 = 9,287 : x
  2. Step 2: Convert to fraction form
    28,005.32/42,011.22 = 9,287/x
  3. Step 3: Cross multiply
    28,005.32x = 42,011.22 × 9,287
  4. Step 4: Simplify right side
    28,005.32x = 390,158,200.14
  5. Step 5: Solve for x
    x = 390,158,200.14/28,005.32
  6. Step 6: Final answer
    x = 13,931.57

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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.