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Finding the Fourth Proportional to 10,698, 14,770.80 and 8,705.52

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Solution

The fourth proportional to 10,698, 14,770.80 and 8,705.52 is: 12,019.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698 : 14,770.80 = 8,705.52 : x
  2. Step 2: Convert to fraction form
    10,698/14,770.80 = 8,705.52/x
  3. Step 3: Cross multiply
    10,698x = 14,770.80 × 8,705.52
  4. Step 4: Simplify right side
    10,698x = 128,587,494.82
  5. Step 5: Solve for x
    x = 128,587,494.82/10,698
  6. Step 6: Final answer
    x = 12,019.77

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Why These Related Problems?

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