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Finding the Fourth Proportional to 7,509.71, 11,264.59 and 2,828.47

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Solution

The fourth proportional to 7,509.71, 11,264.59 and 2,828.47 is: 4,242.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.71 : 11,264.59 = 2,828.47 : x
  2. Step 2: Convert to fraction form
    7,509.71/11,264.59 = 2,828.47/x
  3. Step 3: Cross multiply
    7,509.71x = 11,264.59 × 2,828.47
  4. Step 4: Simplify right side
    7,509.71x = 31,861,511.81
  5. Step 5: Solve for x
    x = 31,861,511.81/7,509.71
  6. Step 6: Final answer
    x = 4,242.71

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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.