Home / 7,827.64-11,747.63-4,711.16

Finding the Fourth Proportional to 7,827.64, 11,747.63 and 4,711.16

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Solution

The fourth proportional to 7,827.64, 11,747.63 and 4,711.16 is: 7,070.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.64 : 11,747.63 = 4,711.16 : x
  2. Step 2: Convert to fraction form
    7,827.64/11,747.63 = 4,711.16/x
  3. Step 3: Cross multiply
    7,827.64x = 11,747.63 × 4,711.16
  4. Step 4: Simplify right side
    7,827.64x = 55,345,005.70
  5. Step 5: Solve for x
    x = 55,345,005.70/7,827.64
  6. Step 6: Final answer
    x = 7,070.46

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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.