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Finding the Fourth Proportional to 11,445.33, 15,788.98 and 7,411.00

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Solution

The fourth proportional to 11,445.33, 15,788.98 and 7,411.00 is: 10,223.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,445.33 : 15,788.98 = 7,411.00 : x
  2. Step 2: Convert to fraction form
    11,445.33/15,788.98 = 7,411.00/x
  3. Step 3: Cross multiply
    11,445.33x = 15,788.98 × 7,411.00
  4. Step 4: Simplify right side
    11,445.33x = 117,012,064.25
  5. Step 5: Solve for x
    x = 117,012,064.25/11,445.33
  6. Step 6: Final answer
    x = 10,223.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.