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Finding the Fourth Proportional to 12,284.51, 16,955.36 and 7,807.40

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Solution

The fourth proportional to 12,284.51, 16,955.36 and 7,807.40 is: 10,775.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,284.51 : 16,955.36 = 7,807.40 : x
  2. Step 2: Convert to fraction form
    12,284.51/16,955.36 = 7,807.40/x
  3. Step 3: Cross multiply
    12,284.51x = 16,955.36 × 7,807.40
  4. Step 4: Simplify right side
    12,284.51x = 132,377,153.85
  5. Step 5: Solve for x
    x = 132,377,153.85/12,284.51
  6. Step 6: Final answer
    x = 10,775.95

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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.