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Finding the Fourth Proportional to 9,879.64, 13,634.34 and 5,689.24

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Solution

The fourth proportional to 9,879.64, 13,634.34 and 5,689.24 is: 7,851.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,879.64 : 13,634.34 = 5,689.24 : x
  2. Step 2: Convert to fraction form
    9,879.64/13,634.34 = 5,689.24/x
  3. Step 3: Cross multiply
    9,879.64x = 13,634.34 × 5,689.24
  4. Step 4: Simplify right side
    9,879.64x = 77,569,032.50
  5. Step 5: Solve for x
    x = 77,569,032.50/9,879.64
  6. Step 6: Final answer
    x = 7,851.40

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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.