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Finding the Fourth Proportional to 12,307.80, 16,984.68 and 6,718.80

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Solution

The fourth proportional to 12,307.80, 16,984.68 and 6,718.80 is: 9,271.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307.80 : 16,984.68 = 6,718.80 : x
  2. Step 2: Convert to fraction form
    12,307.80/16,984.68 = 6,718.80/x
  3. Step 3: Cross multiply
    12,307.80x = 16,984.68 × 6,718.80
  4. Step 4: Simplify right side
    12,307.80x = 114,116,667.98
  5. Step 5: Solve for x
    x = 114,116,667.98/12,307.80
  6. Step 6: Final answer
    x = 9,271.90

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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.