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Finding the Fourth Proportional to 7,807.79, 10,775.00 and 4,271.00

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Solution

The fourth proportional to 7,807.79, 10,775.00 and 4,271.00 is: 5,894.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.79 : 10,775.00 = 4,271.00 : x
  2. Step 2: Convert to fraction form
    7,807.79/10,775.00 = 4,271.00/x
  3. Step 3: Cross multiply
    7,807.79x = 10,775.00 × 4,271.00
  4. Step 4: Simplify right side
    7,807.79x = 46,019,949.77
  5. Step 5: Solve for x
    x = 46,019,949.77/7,807.79
  6. Step 6: Final answer
    x = 5,894.11

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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.