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Finding the Fourth Proportional to 14,070, 19,416.60 and 9,102

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Solution

The fourth proportional to 14,070, 19,416.60 and 9,102 is: 12,560.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,070 : 19,416.60 = 9,102 : x
  2. Step 2: Convert to fraction form
    14,070/19,416.60 = 9,102/x
  3. Step 3: Cross multiply
    14,070x = 19,416.60 × 9,102
  4. Step 4: Simplify right side
    14,070x = 176,729,893.20
  5. Step 5: Solve for x
    x = 176,729,893.20/14,070
  6. Step 6: Final answer
    x = 12,560.76

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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.