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Finding the Fourth Proportional to 13,978.08, 19,268.88 and 9,254.16

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Solution

The fourth proportional to 13,978.08, 19,268.88 and 9,254.16 is: 12,756.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.08 : 19,268.88 = 9,254.16 : x
  2. Step 2: Convert to fraction form
    13,978.08/19,268.88 = 9,254.16/x
  3. Step 3: Cross multiply
    13,978.08x = 19,268.88 × 9,254.16
  4. Step 4: Simplify right side
    13,978.08x = 178,317,298.54
  5. Step 5: Solve for x
    x = 178,317,298.54/13,978.08
  6. Step 6: Final answer
    x = 12,756.92

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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.