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Finding the Fourth Proportional to 7,807.75, 11,710.76 and 1,964.36

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Solution

The fourth proportional to 7,807.75, 11,710.76 and 1,964.36 is: 2,946.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.75 : 11,710.76 = 1,964.36 : x
  2. Step 2: Convert to fraction form
    7,807.75/11,710.76 = 1,964.36/x
  3. Step 3: Cross multiply
    7,807.75x = 11,710.76 × 1,964.36
  4. Step 4: Simplify right side
    7,807.75x = 23,004,148.51
  5. Step 5: Solve for x
    x = 23,004,148.51/7,807.75
  6. Step 6: Final answer
    x = 2,946.32

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1.5x scale

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.