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Finding the Fourth Proportional to 42,897.76, 64,349.64 and 13,311.64

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Solution

The fourth proportional to 42,897.76, 64,349.64 and 13,311.64 is: 19,968.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,897.76 : 64,349.64 = 13,311.64 : x
  2. Step 2: Convert to fraction form
    42,897.76/64,349.64 = 13,311.64/x
  3. Step 3: Cross multiply
    42,897.76x = 64,349.64 × 13,311.64
  4. Step 4: Simplify right side
    42,897.76x = 856,599,241.81
  5. Step 5: Solve for x
    x = 856,599,241.81/42,897.76
  6. Step 6: Final answer
    x = 19,968.39

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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.