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Finding the Fourth Proportional to 10,498, 14,487.26 and 5,782.72

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Solution

The fourth proportional to 10,498, 14,487.26 and 5,782.72 is: 7,980.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498 : 14,487.26 = 5,782.72 : x
  2. Step 2: Convert to fraction form
    10,498/14,487.26 = 5,782.72/x
  3. Step 3: Cross multiply
    10,498x = 14,487.26 × 5,782.72
  4. Step 4: Simplify right side
    10,498x = 83,775,768.15
  5. Step 5: Solve for x
    x = 83,775,768.15/10,498
  6. Step 6: Final answer
    x = 7,980.16

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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.