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Finding the Fourth Proportional to 9,725.76, 13,416.96 and 7,072

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Solution

The fourth proportional to 9,725.76, 13,416.96 and 7,072 is: 9,756.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,725.76 : 13,416.96 = 7,072 : x
  2. Step 2: Convert to fraction form
    9,725.76/13,416.96 = 7,072/x
  3. Step 3: Cross multiply
    9,725.76x = 13,416.96 × 7,072
  4. Step 4: Simplify right side
    9,725.76x = 94,884,741.12
  5. Step 5: Solve for x
    x = 94,884,741.12/9,725.76
  6. Step 6: Final answer
    x = 9,756.02

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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.