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Finding the Fourth Proportional to 28,590.67, 42,886 and 7,814.17

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Solution

The fourth proportional to 28,590.67, 42,886 and 7,814.17 is: 11,721.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,590.67 : 42,886 = 7,814.17 : x
  2. Step 2: Convert to fraction form
    28,590.67/42,886 = 7,814.17/x
  3. Step 3: Cross multiply
    28,590.67x = 42,886 × 7,814.17
  4. Step 4: Simplify right side
    28,590.67x = 335,118,494.62
  5. Step 5: Solve for x
    x = 335,118,494.62/28,590.67
  6. Step 6: Final answer
    x = 11,721.25

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1.5x scale

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.