Home / 7,827.81-10,800-4,842.60

Finding the Fourth Proportional to 7,827.81, 10,800 and 4,842.60

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Solution

The fourth proportional to 7,827.81, 10,800 and 4,842.60 is: 6,681.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.81 : 10,800 = 4,842.60 : x
  2. Step 2: Convert to fraction form
    7,827.81/10,800 = 4,842.60/x
  3. Step 3: Cross multiply
    7,827.81x = 10,800 × 4,842.60
  4. Step 4: Simplify right side
    7,827.81x = 52,300,080.00
  5. Step 5: Solve for x
    x = 52,300,080.00/7,827.81
  6. Step 6: Final answer
    x = 6,681.32

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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.