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Finding the Fourth Proportional to 7,836.68, 10,828.63 and 5,828.21

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Solution

The fourth proportional to 7,836.68, 10,828.63 and 5,828.21 is: 8,053.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.68 : 10,828.63 = 5,828.21 : x
  2. Step 2: Convert to fraction form
    7,836.68/10,828.63 = 5,828.21/x
  3. Step 3: Cross multiply
    7,836.68x = 10,828.63 × 5,828.21
  4. Step 4: Simplify right side
    7,836.68x = 63,111,477.17
  5. Step 5: Solve for x
    x = 63,111,477.17/7,836.68
  6. Step 6: Final answer
    x = 8,053.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.