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Finding the Fourth Proportional to 6,102, 8,420.76 and 3,307.50

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Solution

The fourth proportional to 6,102, 8,420.76 and 3,307.50 is: 4,564.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102 : 8,420.76 = 3,307.50 : x
  2. Step 2: Convert to fraction form
    6,102/8,420.76 = 3,307.50/x
  3. Step 3: Cross multiply
    6,102x = 8,420.76 × 3,307.50
  4. Step 4: Simplify right side
    6,102x = 27,851,663.70
  5. Step 5: Solve for x
    x = 27,851,663.70/6,102
  6. Step 6: Final answer
    x = 4,564.35

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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.