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Finding the Fourth Proportional to 7,830.84, 10,805.88 and 4,472.98

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Solution

The fourth proportional to 7,830.84, 10,805.88 and 4,472.98 is: 6,172.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.84 : 10,805.88 = 4,472.98 : x
  2. Step 2: Convert to fraction form
    7,830.84/10,805.88 = 4,472.98/x
  3. Step 3: Cross multiply
    7,830.84x = 10,805.88 × 4,472.98
  4. Step 4: Simplify right side
    7,830.84x = 48,334,485.12
  5. Step 5: Solve for x
    x = 48,334,485.12/7,830.84
  6. Step 6: Final answer
    x = 6,172.32

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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.