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Finding the Fourth Proportional to 14,028, 21,030.96 and 7,790.16

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Solution

The fourth proportional to 14,028, 21,030.96 and 7,790.16 is: 11,679.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,028 : 21,030.96 = 7,790.16 : x
  2. Step 2: Convert to fraction form
    14,028/21,030.96 = 7,790.16/x
  3. Step 3: Cross multiply
    14,028x = 21,030.96 × 7,790.16
  4. Step 4: Simplify right side
    14,028x = 163,834,543.35
  5. Step 5: Solve for x
    x = 163,834,543.35/14,028
  6. Step 6: Final answer
    x = 11,679.11

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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.