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Finding the Fourth Proportional to 7,957.84, 11,913 and 6,564.64

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Solution

The fourth proportional to 7,957.84, 11,913 and 6,564.64 is: 9,827.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,957.84 : 11,913 = 6,564.64 : x
  2. Step 2: Convert to fraction form
    7,957.84/11,913 = 6,564.64/x
  3. Step 3: Cross multiply
    7,957.84x = 11,913 × 6,564.64
  4. Step 4: Simplify right side
    7,957.84x = 78,204,556.32
  5. Step 5: Solve for x
    x = 78,204,556.32/7,957.84
  6. Step 6: Final answer
    x = 9,827.36

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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.