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Finding the Fourth Proportional to 1,300.28, 1,947.90 and 1,007.61

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Solution

The fourth proportional to 1,300.28, 1,947.90 and 1,007.61 is: 1,509.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.28 : 1,947.90 = 1,007.61 : x
  2. Step 2: Convert to fraction form
    1,300.28/1,947.90 = 1,007.61/x
  3. Step 3: Cross multiply
    1,300.28x = 1,947.90 × 1,007.61
  4. Step 4: Simplify right side
    1,300.28x = 1,962,723.52
  5. Step 5: Solve for x
    x = 1,962,723.52/1,300.28
  6. Step 6: Final answer
    x = 1,509.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.