Home / 13,823-19,075.77-7,535.36

Finding the Fourth Proportional to 13,823, 19,075.77 and 7,535.36

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Solution

The fourth proportional to 13,823, 19,075.77 and 7,535.36 is: 10,398.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823 : 19,075.77 = 7,535.36 : x
  2. Step 2: Convert to fraction form
    13,823/19,075.77 = 7,535.36/x
  3. Step 3: Cross multiply
    13,823x = 19,075.77 × 7,535.36
  4. Step 4: Simplify right side
    13,823x = 143,742,794.23
  5. Step 5: Solve for x
    x = 143,742,794.23/13,823
  6. Step 6: Final answer
    x = 10,398.81

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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.