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Finding the Fourth Proportional to 7,038.82, 9,713.87 and 5,361.51

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Solution

The fourth proportional to 7,038.82, 9,713.87 and 5,361.51 is: 7,399.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.82 : 9,713.87 = 5,361.51 : x
  2. Step 2: Convert to fraction form
    7,038.82/9,713.87 = 5,361.51/x
  3. Step 3: Cross multiply
    7,038.82x = 9,713.87 × 5,361.51
  4. Step 4: Simplify right side
    7,038.82x = 52,081,011.14
  5. Step 5: Solve for x
    x = 52,081,011.14/7,038.82
  6. Step 6: Final answer
    x = 7,399.11

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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.