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Finding the Fourth Proportional to 10,268.80, 15,416 and 9,798.08

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Solution

The fourth proportional to 10,268.80, 15,416 and 9,798.08 is: 14,709.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,268.80 : 15,416 = 9,798.08 : x
  2. Step 2: Convert to fraction form
    10,268.80/15,416 = 9,798.08/x
  3. Step 3: Cross multiply
    10,268.80x = 15,416 × 9,798.08
  4. Step 4: Simplify right side
    10,268.80x = 151,047,201.28
  5. Step 5: Solve for x
    x = 151,047,201.28/10,268.80
  6. Step 6: Final answer
    x = 14,709.33

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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.