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Finding the Fourth Proportional to 11,470.90, 15,830.48 and 8,633.16

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Solution

The fourth proportional to 11,470.90, 15,830.48 and 8,633.16 is: 11,914.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,470.90 : 15,830.48 = 8,633.16 : x
  2. Step 2: Convert to fraction form
    11,470.90/15,830.48 = 8,633.16/x
  3. Step 3: Cross multiply
    11,470.90x = 15,830.48 × 8,633.16
  4. Step 4: Simplify right side
    11,470.90x = 136,667,066.72
  5. Step 5: Solve for x
    x = 136,667,066.72/11,470.90
  6. Step 6: Final answer
    x = 11,914.24

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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.