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Finding the Fourth Proportional to 8,453, 12,681.72 and 4,946

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Solution

The fourth proportional to 8,453, 12,681.72 and 4,946 is: 7,420.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,453 : 12,681.72 = 4,946 : x
  2. Step 2: Convert to fraction form
    8,453/12,681.72 = 4,946/x
  3. Step 3: Cross multiply
    8,453x = 12,681.72 × 4,946
  4. Step 4: Simplify right side
    8,453x = 62,723,787.12
  5. Step 5: Solve for x
    x = 62,723,787.12/8,453
  6. Step 6: Final answer
    x = 7,420.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.