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Finding the Fourth Proportional to 9,886.68, 13,643.40 and 5,410.38

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Solution

The fourth proportional to 9,886.68, 13,643.40 and 5,410.38 is: 7,466.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,886.68 : 13,643.40 = 5,410.38 : x
  2. Step 2: Convert to fraction form
    9,886.68/13,643.40 = 5,410.38/x
  3. Step 3: Cross multiply
    9,886.68x = 13,643.40 × 5,410.38
  4. Step 4: Simplify right side
    9,886.68x = 73,815,978.49
  5. Step 5: Solve for x
    x = 73,815,978.49/9,886.68
  6. Step 6: Final answer
    x = 7,466.20

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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.