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Finding the Fourth Proportional to 14,398, 19,877.88 and 9,438.64

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Solution

The fourth proportional to 14,398, 19,877.88 and 9,438.64 is: 13,030.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,398 : 19,877.88 = 9,438.64 : x
  2. Step 2: Convert to fraction form
    14,398/19,877.88 = 9,438.64/x
  3. Step 3: Cross multiply
    14,398x = 19,877.88 × 9,438.64
  4. Step 4: Simplify right side
    14,398x = 187,620,153.28
  5. Step 5: Solve for x
    x = 187,620,153.28/14,398
  6. Step 6: Final answer
    x = 13,030.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.