Home / 31,782.51-47,678.19-10,728.57

Finding the Fourth Proportional to 31,782.51, 47,678.19 and 10,728.57

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Solution

The fourth proportional to 31,782.51, 47,678.19 and 10,728.57 is: 16,094.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,782.51 : 47,678.19 = 10,728.57 : x
  2. Step 2: Convert to fraction form
    31,782.51/47,678.19 = 10,728.57/x
  3. Step 3: Cross multiply
    31,782.51x = 47,678.19 × 10,728.57
  4. Step 4: Simplify right side
    31,782.51x = 511,518,798.89
  5. Step 5: Solve for x
    x = 511,518,798.89/31,782.51
  6. Step 6: Final answer
    x = 16,094.35

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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.