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Finding the Fourth Proportional to 9,730, 13,427.72 and 5,314

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Solution

The fourth proportional to 9,730, 13,427.72 and 5,314 is: 7,333.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730 : 13,427.72 = 5,314 : x
  2. Step 2: Convert to fraction form
    9,730/13,427.72 = 5,314/x
  3. Step 3: Cross multiply
    9,730x = 13,427.72 × 5,314
  4. Step 4: Simplify right side
    9,730x = 71,354,904.08
  5. Step 5: Solve for x
    x = 71,354,904.08/9,730
  6. Step 6: Final answer
    x = 7,333.49

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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.