Home / 15,830-21,845.40-9,543.68

Finding the Fourth Proportional to 15,830, 21,845.40 and 9,543.68

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Solution

The fourth proportional to 15,830, 21,845.40 and 9,543.68 is: 13,170.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,830 : 21,845.40 = 9,543.68 : x
  2. Step 2: Convert to fraction form
    15,830/21,845.40 = 9,543.68/x
  3. Step 3: Cross multiply
    15,830x = 21,845.40 × 9,543.68
  4. Step 4: Simplify right side
    15,830x = 208,485,507.07
  5. Step 5: Solve for x
    x = 208,485,507.07/15,830
  6. Step 6: Final answer
    x = 13,170.28

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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.