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Finding the Fourth Proportional to 9,706, 13,394.28 and 5,290

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Solution

The fourth proportional to 9,706, 13,394.28 and 5,290 is: 7,300.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706 : 13,394.28 = 5,290 : x
  2. Step 2: Convert to fraction form
    9,706/13,394.28 = 5,290/x
  3. Step 3: Cross multiply
    9,706x = 13,394.28 × 5,290
  4. Step 4: Simplify right side
    9,706x = 70,855,741.20
  5. Step 5: Solve for x
    x = 70,855,741.20/9,706
  6. Step 6: Final answer
    x = 7,300.20

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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.