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Finding the Fourth Proportional to 9,718.81, 13,420.43 and 7,619.29

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Solution

The fourth proportional to 9,718.81, 13,420.43 and 7,619.29 is: 10,521.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718.81 : 13,420.43 = 7,619.29 : x
  2. Step 2: Convert to fraction form
    9,718.81/13,420.43 = 7,619.29/x
  3. Step 3: Cross multiply
    9,718.81x = 13,420.43 × 7,619.29
  4. Step 4: Simplify right side
    9,718.81x = 102,254,110.00
  5. Step 5: Solve for x
    x = 102,254,110.00/9,718.81
  6. Step 6: Final answer
    x = 10,521.26

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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.