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Finding the Fourth Proportional to 8,642.53, 11,926.74 and 4,916.53

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Solution

The fourth proportional to 8,642.53, 11,926.74 and 4,916.53 is: 6,784.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.53 : 11,926.74 = 4,916.53 : x
  2. Step 2: Convert to fraction form
    8,642.53/11,926.74 = 4,916.53/x
  3. Step 3: Cross multiply
    8,642.53x = 11,926.74 × 4,916.53
  4. Step 4: Simplify right side
    8,642.53x = 58,638,175.01
  5. Step 5: Solve for x
    x = 58,638,175.01/8,642.53
  6. Step 6: Final answer
    x = 6,784.84

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1.5x scale

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.