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Finding the Fourth Proportional to 19,985.58, 29,978.64 and 7,503.30

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Solution

The fourth proportional to 19,985.58, 29,978.64 and 7,503.30 is: 11,255.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,985.58 : 29,978.64 = 7,503.30 : x
  2. Step 2: Convert to fraction form
    19,985.58/29,978.64 = 7,503.30/x
  3. Step 3: Cross multiply
    19,985.58x = 29,978.64 × 7,503.30
  4. Step 4: Simplify right side
    19,985.58x = 224,938,729.51
  5. Step 5: Solve for x
    x = 224,938,729.51/19,985.58
  6. Step 6: Final answer
    x = 11,255.05

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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.