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Finding the Fourth Proportional to 38,509.48, 53,143.86 and 21,739.24

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Solution

The fourth proportional to 38,509.48, 53,143.86 and 21,739.24 is: 30,000.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,509.48 : 53,143.86 = 21,739.24 : x
  2. Step 2: Convert to fraction form
    38,509.48/53,143.86 = 21,739.24/x
  3. Step 3: Cross multiply
    38,509.48x = 53,143.86 × 21,739.24
  4. Step 4: Simplify right side
    38,509.48x = 1,155,307,127.07
  5. Step 5: Solve for x
    x = 1,155,307,127.07/38,509.48
  6. Step 6: Final answer
    x = 30,000.59

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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.