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Finding the Fourth Proportional to 14,930, 20,603.88 and 8,215.28

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Solution

The fourth proportional to 14,930, 20,603.88 and 8,215.28 is: 11,337.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,930 : 20,603.88 = 8,215.28 : x
  2. Step 2: Convert to fraction form
    14,930/20,603.88 = 8,215.28/x
  3. Step 3: Cross multiply
    14,930x = 20,603.88 × 8,215.28
  4. Step 4: Simplify right side
    14,930x = 169,266,643.29
  5. Step 5: Solve for x
    x = 169,266,643.29/14,930
  6. Step 6: Final answer
    x = 11,337.35

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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.