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Finding the Fourth Proportional to 14,545.98, 20,070.80 and 9,772.85

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Solution

The fourth proportional to 14,545.98, 20,070.80 and 9,772.85 is: 13,484.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,545.98 : 20,070.80 = 9,772.85 : x
  2. Step 2: Convert to fraction form
    14,545.98/20,070.80 = 9,772.85/x
  3. Step 3: Cross multiply
    14,545.98x = 20,070.80 × 9,772.85
  4. Step 4: Simplify right side
    14,545.98x = 196,148,917.78
  5. Step 5: Solve for x
    x = 196,148,917.78/14,545.98
  6. Step 6: Final answer
    x = 13,484.75

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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.