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Finding the Fourth Proportional to 8,642.50, 11,926.65 and 4,916.50

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Solution

The fourth proportional to 8,642.50, 11,926.65 and 4,916.50 is: 6,784.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.50 : 11,926.65 = 4,916.50 : x
  2. Step 2: Convert to fraction form
    8,642.50/11,926.65 = 4,916.50/x
  3. Step 3: Cross multiply
    8,642.50x = 11,926.65 × 4,916.50
  4. Step 4: Simplify right side
    8,642.50x = 58,637,374.73
  5. Step 5: Solve for x
    x = 58,637,374.73/8,642.50
  6. Step 6: Final answer
    x = 6,784.77

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Why These Related Problems?

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