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Finding the Fourth Proportional to 19,980.36, 29,985.90 and 7,509.60

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Solution

The fourth proportional to 19,980.36, 29,985.90 and 7,509.60 is: 11,270.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,980.36 : 29,985.90 = 7,509.60 : x
  2. Step 2: Convert to fraction form
    19,980.36/29,985.90 = 7,509.60/x
  3. Step 3: Cross multiply
    19,980.36x = 29,985.90 × 7,509.60
  4. Step 4: Simplify right side
    19,980.36x = 225,182,114.64
  5. Step 5: Solve for x
    x = 225,182,114.64/19,980.36
  6. Step 6: Final answer
    x = 11,270.17

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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.