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Finding the Fourth Proportional to 10,520.62, 14,518.76 and 5,805.20

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Solution

The fourth proportional to 10,520.62, 14,518.76 and 5,805.20 is: 8,011.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.62 : 14,518.76 = 5,805.20 : x
  2. Step 2: Convert to fraction form
    10,520.62/14,518.76 = 5,805.20/x
  3. Step 3: Cross multiply
    10,520.62x = 14,518.76 × 5,805.20
  4. Step 4: Simplify right side
    10,520.62x = 84,284,312.82
  5. Step 5: Solve for x
    x = 84,284,312.82/10,520.62
  6. Step 6: Final answer
    x = 8,011.35

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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.