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Finding the Fourth Proportional to 7,556.40, 10,428 and 4,571.64

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Solution

The fourth proportional to 7,556.40, 10,428 and 4,571.64 is: 6,308.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,556.40 : 10,428 = 4,571.64 : x
  2. Step 2: Convert to fraction form
    7,556.40/10,428 = 4,571.64/x
  3. Step 3: Cross multiply
    7,556.40x = 10,428 × 4,571.64
  4. Step 4: Simplify right side
    7,556.40x = 47,673,061.92
  5. Step 5: Solve for x
    x = 47,673,061.92/7,556.40
  6. Step 6: Final answer
    x = 6,308.96

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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.