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Finding the Fourth Proportional to 9,886.89, 13,643.90 and 5,410.64

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Solution

The fourth proportional to 9,886.89, 13,643.90 and 5,410.64 is: 7,466.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,886.89 : 13,643.90 = 5,410.64 : x
  2. Step 2: Convert to fraction form
    9,886.89/13,643.90 = 5,410.64/x
  3. Step 3: Cross multiply
    9,886.89x = 13,643.90 × 5,410.64
  4. Step 4: Simplify right side
    9,886.89x = 73,822,288.88
  5. Step 5: Solve for x
    x = 73,822,288.88/9,886.89
  6. Step 6: Final answer
    x = 7,466.69

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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.