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Finding the Fourth Proportional to 21,064.74, 31,595.76 and 7,916.10

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Solution

The fourth proportional to 21,064.74, 31,595.76 and 7,916.10 is: 11,873.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,064.74 : 31,595.76 = 7,916.10 : x
  2. Step 2: Convert to fraction form
    21,064.74/31,595.76 = 7,916.10/x
  3. Step 3: Cross multiply
    21,064.74x = 31,595.76 × 7,916.10
  4. Step 4: Simplify right side
    21,064.74x = 250,115,195.74
  5. Step 5: Solve for x
    x = 250,115,195.74/21,064.74
  6. Step 6: Final answer
    x = 11,873.64

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Why These Related Problems?

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