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Finding the Fourth Proportional to 10,605.47, 15,911.53 and 4,368.42

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Solution

The fourth proportional to 10,605.47, 15,911.53 and 4,368.42 is: 6,554.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.47 : 15,911.53 = 4,368.42 : x
  2. Step 2: Convert to fraction form
    10,605.47/15,911.53 = 4,368.42/x
  3. Step 3: Cross multiply
    10,605.47x = 15,911.53 × 4,368.42
  4. Step 4: Simplify right side
    10,605.47x = 69,508,206.44
  5. Step 5: Solve for x
    x = 69,508,206.44/10,605.47
  6. Step 6: Final answer
    x = 6,554.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.