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Finding the Fourth Proportional to 12,287.61, 16,955.42 and 6,980.94

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Solution

The fourth proportional to 12,287.61, 16,955.42 and 6,980.94 is: 9,632.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,287.61 : 16,955.42 = 6,980.94 : x
  2. Step 2: Convert to fraction form
    12,287.61/16,955.42 = 6,980.94/x
  3. Step 3: Cross multiply
    12,287.61x = 16,955.42 × 6,980.94
  4. Step 4: Simplify right side
    12,287.61x = 118,364,734.79
  5. Step 5: Solve for x
    x = 118,364,734.79/12,287.61
  6. Step 6: Final answer
    x = 9,632.85

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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.