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Finding the Fourth Proportional to 9,690.39, 13,363.65 and 7,707.51

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Solution

The fourth proportional to 9,690.39, 13,363.65 and 7,707.51 is: 10,629.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690.39 : 13,363.65 = 7,707.51 : x
  2. Step 2: Convert to fraction form
    9,690.39/13,363.65 = 7,707.51/x
  3. Step 3: Cross multiply
    9,690.39x = 13,363.65 × 7,707.51
  4. Step 4: Simplify right side
    9,690.39x = 103,000,466.01
  5. Step 5: Solve for x
    x = 103,000,466.01/9,690.39
  6. Step 6: Final answer
    x = 10,629.14

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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.