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Finding the Fourth Proportional to 13,987, 19,302.06 and 7,699.78

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Solution

The fourth proportional to 13,987, 19,302.06 and 7,699.78 is: 10,625.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,987 : 19,302.06 = 7,699.78 : x
  2. Step 2: Convert to fraction form
    13,987/19,302.06 = 7,699.78/x
  3. Step 3: Cross multiply
    13,987x = 19,302.06 × 7,699.78
  4. Step 4: Simplify right side
    13,987x = 148,621,615.55
  5. Step 5: Solve for x
    x = 148,621,615.55/13,987
  6. Step 6: Final answer
    x = 10,625.70

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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.