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Finding the Fourth Proportional to 10,842.78, 16,257.45 and 4,681.50

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Solution

The fourth proportional to 10,842.78, 16,257.45 and 4,681.50 is: 7,019.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.78 : 16,257.45 = 4,681.50 : x
  2. Step 2: Convert to fraction form
    10,842.78/16,257.45 = 4,681.50/x
  3. Step 3: Cross multiply
    10,842.78x = 16,257.45 × 4,681.50
  4. Step 4: Simplify right side
    10,842.78x = 76,109,252.18
  5. Step 5: Solve for x
    x = 76,109,252.18/10,842.78
  6. Step 6: Final answer
    x = 7,019.35

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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.