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Finding the Fourth Proportional to 10,798.98, 14,905.38 and 7,031.56

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Solution

The fourth proportional to 10,798.98, 14,905.38 and 7,031.56 is: 9,705.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,798.98 : 14,905.38 = 7,031.56 : x
  2. Step 2: Convert to fraction form
    10,798.98/14,905.38 = 7,031.56/x
  3. Step 3: Cross multiply
    10,798.98x = 14,905.38 × 7,031.56
  4. Step 4: Simplify right side
    10,798.98x = 104,808,073.79
  5. Step 5: Solve for x
    x = 104,808,073.79/10,798.98
  6. Step 6: Final answer
    x = 9,705.37

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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.