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Finding the Fourth Proportional to 9,707.50, 13,396.36 and 5,291.50

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Solution

The fourth proportional to 9,707.50, 13,396.36 and 5,291.50 is: 7,302.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.50 : 13,396.36 = 5,291.50 : x
  2. Step 2: Convert to fraction form
    9,707.50/13,396.36 = 5,291.50/x
  3. Step 3: Cross multiply
    9,707.50x = 13,396.36 × 5,291.50
  4. Step 4: Simplify right side
    9,707.50x = 70,886,838.94
  5. Step 5: Solve for x
    x = 70,886,838.94/9,707.50
  6. Step 6: Final answer
    x = 7,302.28

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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.