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Finding the Fourth Proportional to 9,897, 14,846.31 and 2,971.50

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Solution

The fourth proportional to 9,897, 14,846.31 and 2,971.50 is: 4,457.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897 : 14,846.31 = 2,971.50 : x
  2. Step 2: Convert to fraction form
    9,897/14,846.31 = 2,971.50/x
  3. Step 3: Cross multiply
    9,897x = 14,846.31 × 2,971.50
  4. Step 4: Simplify right side
    9,897x = 44,115,810.17
  5. Step 5: Solve for x
    x = 44,115,810.17/9,897
  6. Step 6: Final answer
    x = 4,457.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.