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Finding the Fourth Proportional to 7,807.04, 10,769.64 and 5,289.32

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Solution

The fourth proportional to 7,807.04, 10,769.64 and 5,289.32 is: 7,296.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.04 : 10,769.64 = 5,289.32 : x
  2. Step 2: Convert to fraction form
    7,807.04/10,769.64 = 5,289.32/x
  3. Step 3: Cross multiply
    7,807.04x = 10,769.64 × 5,289.32
  4. Step 4: Simplify right side
    7,807.04x = 56,964,072.24
  5. Step 5: Solve for x
    x = 56,964,072.24/7,807.04
  6. Step 6: Final answer
    x = 7,296.50

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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.