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Finding the Fourth Proportional to 11,875.58, 17,809.16 and 5,634.40

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Solution

The fourth proportional to 11,875.58, 17,809.16 and 5,634.40 is: 8,449.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,875.58 : 17,809.16 = 5,634.40 : x
  2. Step 2: Convert to fraction form
    11,875.58/17,809.16 = 5,634.40/x
  3. Step 3: Cross multiply
    11,875.58x = 17,809.16 × 5,634.40
  4. Step 4: Simplify right side
    11,875.58x = 100,343,931.10
  5. Step 5: Solve for x
    x = 100,343,931.10/11,875.58
  6. Step 6: Final answer
    x = 8,449.60

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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.