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Finding the Fourth Proportional to 7,713.50, 10,644.10 and 4,356.45

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Solution

The fourth proportional to 7,713.50, 10,644.10 and 4,356.45 is: 6,011.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.50 : 10,644.10 = 4,356.45 : x
  2. Step 2: Convert to fraction form
    7,713.50/10,644.10 = 4,356.45/x
  3. Step 3: Cross multiply
    7,713.50x = 10,644.10 × 4,356.45
  4. Step 4: Simplify right side
    7,713.50x = 46,370,478.55
  5. Step 5: Solve for x
    x = 46,370,478.55/7,713.50
  6. Step 6: Final answer
    x = 6,011.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.