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Finding the Fourth Proportional to 9,779.72, 14,598 and 8,401.91

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Solution

The fourth proportional to 9,779.72, 14,598 and 8,401.91 is: 12,541.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.72 : 14,598 = 8,401.91 : x
  2. Step 2: Convert to fraction form
    9,779.72/14,598 = 8,401.91/x
  3. Step 3: Cross multiply
    9,779.72x = 14,598 × 8,401.91
  4. Step 4: Simplify right side
    9,779.72x = 122,651,009.19
  5. Step 5: Solve for x
    x = 122,651,009.19/9,779.72
  6. Step 6: Final answer
    x = 12,541.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.