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Finding the Fourth Proportional to 9,643.79, 13,316.31 and 7,128.74

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Solution

The fourth proportional to 9,643.79, 13,316.31 and 7,128.74 is: 9,843.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.79 : 13,316.31 = 7,128.74 : x
  2. Step 2: Convert to fraction form
    9,643.79/13,316.31 = 7,128.74/x
  3. Step 3: Cross multiply
    9,643.79x = 13,316.31 × 7,128.74
  4. Step 4: Simplify right side
    9,643.79x = 94,928,511.75
  5. Step 5: Solve for x
    x = 94,928,511.75/9,643.79
  6. Step 6: Final answer
    x = 9,843.49

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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.