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Finding the Fourth Proportional to 27,812.88, 38,378.40 and 16,482.72

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Solution

The fourth proportional to 27,812.88, 38,378.40 and 16,482.72 is: 22,744.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,812.88 : 38,378.40 = 16,482.72 : x
  2. Step 2: Convert to fraction form
    27,812.88/38,378.40 = 16,482.72/x
  3. Step 3: Cross multiply
    27,812.88x = 38,378.40 × 16,482.72
  4. Step 4: Simplify right side
    27,812.88x = 632,580,421.25
  5. Step 5: Solve for x
    x = 632,580,421.25/27,812.88
  6. Step 6: Final answer
    x = 22,744.15

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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.