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Finding the Fourth Proportional to 9,701, 13,386.75 and 5,721.20

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Solution

The fourth proportional to 9,701, 13,386.75 and 5,721.20 is: 7,894.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701 : 13,386.75 = 5,721.20 : x
  2. Step 2: Convert to fraction form
    9,701/13,386.75 = 5,721.20/x
  3. Step 3: Cross multiply
    9,701x = 13,386.75 × 5,721.20
  4. Step 4: Simplify right side
    9,701x = 76,588,274.10
  5. Step 5: Solve for x
    x = 76,588,274.10/9,701
  6. Step 6: Final answer
    x = 7,894.88

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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.