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Finding the Fourth Proportional to 9,700.34, 13,386.66 and 7,578.34

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Solution

The fourth proportional to 9,700.34, 13,386.66 and 7,578.34 is: 10,458.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.34 : 13,386.66 = 7,578.34 : x
  2. Step 2: Convert to fraction form
    9,700.34/13,386.66 = 7,578.34/x
  3. Step 3: Cross multiply
    9,700.34x = 13,386.66 × 7,578.34
  4. Step 4: Simplify right side
    9,700.34x = 101,448,660.94
  5. Step 5: Solve for x
    x = 101,448,660.94/9,700.34
  6. Step 6: Final answer
    x = 10,458.26

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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.