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Finding the Fourth Proportional to 10,783.80, 14,881.59 and 6,068.12

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Solution

The fourth proportional to 10,783.80, 14,881.59 and 6,068.12 is: 8,373.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.80 : 14,881.59 = 6,068.12 : x
  2. Step 2: Convert to fraction form
    10,783.80/14,881.59 = 6,068.12/x
  3. Step 3: Cross multiply
    10,783.80x = 14,881.59 × 6,068.12
  4. Step 4: Simplify right side
    10,783.80x = 90,303,199.50
  5. Step 5: Solve for x
    x = 90,303,199.50/10,783.80
  6. Step 6: Final answer
    x = 8,373.97

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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.