Home / 13,022.04-17,970.75-7,716

Finding the Fourth Proportional to 13,022.04, 17,970.75 and 7,716

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Solution

The fourth proportional to 13,022.04, 17,970.75 and 7,716 is: 10,648.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.04 : 17,970.75 = 7,716 : x
  2. Step 2: Convert to fraction form
    13,022.04/17,970.75 = 7,716/x
  3. Step 3: Cross multiply
    13,022.04x = 17,970.75 × 7,716
  4. Step 4: Simplify right side
    13,022.04x = 138,662,307
  5. Step 5: Solve for x
    x = 138,662,307/13,022.04
  6. Step 6: Final answer
    x = 10,648.28

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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.