Home / 51,724-77,590.50-14,284.12

Finding the Fourth Proportional to 51,724, 77,590.50 and 14,284.12

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Solution

The fourth proportional to 51,724, 77,590.50 and 14,284.12 is: 21,427.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,724 : 77,590.50 = 14,284.12 : x
  2. Step 2: Convert to fraction form
    51,724/77,590.50 = 14,284.12/x
  3. Step 3: Cross multiply
    51,724x = 77,590.50 × 14,284.12
  4. Step 4: Simplify right side
    51,724x = 1,108,312,012.86
  5. Step 5: Solve for x
    x = 1,108,312,012.86/51,724
  6. Step 6: Final answer
    x = 21,427.42

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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.