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Finding the Fourth Proportional to 7,824.65, 10,798.04 and 4,287.92

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Solution

The fourth proportional to 7,824.65, 10,798.04 and 4,287.92 is: 5,917.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824.65 : 10,798.04 = 4,287.92 : x
  2. Step 2: Convert to fraction form
    7,824.65/10,798.04 = 4,287.92/x
  3. Step 3: Cross multiply
    7,824.65x = 10,798.04 × 4,287.92
  4. Step 4: Simplify right side
    7,824.65x = 46,301,088.41
  5. Step 5: Solve for x
    x = 46,301,088.41/7,824.65
  6. Step 6: Final answer
    x = 5,917.34

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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.