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Finding the Fourth Proportional to 10,802.95, 16,205.30 and 7,899.64

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Solution

The fourth proportional to 10,802.95, 16,205.30 and 7,899.64 is: 11,850.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.95 : 16,205.30 = 7,899.64 : x
  2. Step 2: Convert to fraction form
    10,802.95/16,205.30 = 7,899.64/x
  3. Step 3: Cross multiply
    10,802.95x = 16,205.30 × 7,899.64
  4. Step 4: Simplify right side
    10,802.95x = 128,016,036.09
  5. Step 5: Solve for x
    x = 128,016,036.09/10,802.95
  6. Step 6: Final answer
    x = 11,850.10

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1.5x scale

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.