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Finding the Fourth Proportional to 25,590.85, 38,368.11 and 9,782.56

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Solution

The fourth proportional to 25,590.85, 38,368.11 and 9,782.56 is: 14,666.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,590.85 : 38,368.11 = 9,782.56 : x
  2. Step 2: Convert to fraction form
    25,590.85/38,368.11 = 9,782.56/x
  3. Step 3: Cross multiply
    25,590.85x = 38,368.11 × 9,782.56
  4. Step 4: Simplify right side
    25,590.85x = 375,338,448.18
  5. Step 5: Solve for x
    x = 375,338,448.18/25,590.85
  6. Step 6: Final answer
    x = 14,666.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.