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Finding the Fourth Proportional to 10,820.86, 14,941.89 and 6,848.98

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Solution

The fourth proportional to 10,820.86, 14,941.89 and 6,848.98 is: 9,457.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,820.86 : 14,941.89 = 6,848.98 : x
  2. Step 2: Convert to fraction form
    10,820.86/14,941.89 = 6,848.98/x
  3. Step 3: Cross multiply
    10,820.86x = 14,941.89 × 6,848.98
  4. Step 4: Simplify right side
    10,820.86x = 102,336,705.77
  5. Step 5: Solve for x
    x = 102,336,705.77/10,820.86
  6. Step 6: Final answer
    x = 9,457.35

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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.