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Finding the Fourth Proportional to 14,102.50, 19,461.59 and 7,815.01

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Solution

The fourth proportional to 14,102.50, 19,461.59 and 7,815.01 is: 10,784.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,102.50 : 19,461.59 = 7,815.01 : x
  2. Step 2: Convert to fraction form
    14,102.50/19,461.59 = 7,815.01/x
  3. Step 3: Cross multiply
    14,102.50x = 19,461.59 × 7,815.01
  4. Step 4: Simplify right side
    14,102.50x = 152,092,520.47
  5. Step 5: Solve for x
    x = 152,092,520.47/14,102.50
  6. Step 6: Final answer
    x = 10,784.79

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