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Finding the Fourth Proportional to 13,985.36, 20,978.08 and 7,055.04

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Solution

The fourth proportional to 13,985.36, 20,978.08 and 7,055.04 is: 10,582.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,985.36 : 20,978.08 = 7,055.04 : x
  2. Step 2: Convert to fraction form
    13,985.36/20,978.08 = 7,055.04/x
  3. Step 3: Cross multiply
    13,985.36x = 20,978.08 × 7,055.04
  4. Step 4: Simplify right side
    13,985.36x = 148,001,193.52
  5. Step 5: Solve for x
    x = 148,001,193.52/13,985.36
  6. Step 6: Final answer
    x = 10,582.58

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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.