Home / 13,830.32-20,743-5,065.36

Finding the Fourth Proportional to 13,830.32, 20,743 and 5,065.36

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Solution

The fourth proportional to 13,830.32, 20,743 and 5,065.36 is: 7,597.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.32 : 20,743 = 5,065.36 : x
  2. Step 2: Convert to fraction form
    13,830.32/20,743 = 5,065.36/x
  3. Step 3: Cross multiply
    13,830.32x = 20,743 × 5,065.36
  4. Step 4: Simplify right side
    13,830.32x = 105,070,762.48
  5. Step 5: Solve for x
    x = 105,070,762.48/13,830.32
  6. Step 6: Final answer
    x = 7,597.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.