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Finding the Fourth Proportional to 7,868.69, 10,858.47 and 4,509.17

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Solution

The fourth proportional to 7,868.69, 10,858.47 and 4,509.17 is: 6,222.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,868.69 : 10,858.47 = 4,509.17 : x
  2. Step 2: Convert to fraction form
    7,868.69/10,858.47 = 4,509.17/x
  3. Step 3: Cross multiply
    7,868.69x = 10,858.47 × 4,509.17
  4. Step 4: Simplify right side
    7,868.69x = 48,962,661.69
  5. Step 5: Solve for x
    x = 48,962,661.69/7,868.69
  6. Step 6: Final answer
    x = 6,222.46

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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.