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Finding the Fourth Proportional to 13,985.17, 20,978.70 and 4,751.17

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Solution

The fourth proportional to 13,985.17, 20,978.70 and 4,751.17 is: 7,127.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,985.17 : 20,978.70 = 4,751.17 : x
  2. Step 2: Convert to fraction form
    13,985.17/20,978.70 = 4,751.17/x
  3. Step 3: Cross multiply
    13,985.17x = 20,978.70 × 4,751.17
  4. Step 4: Simplify right side
    13,985.17x = 99,673,370.08
  5. Step 5: Solve for x
    x = 99,673,370.08/13,985.17
  6. Step 6: Final answer
    x = 7,127.08

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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.