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Finding the Fourth Proportional to 9,209.89, 12,709.70 and 5,018.14

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Solution

The fourth proportional to 9,209.89, 12,709.70 and 5,018.14 is: 6,925.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.89 : 12,709.70 = 5,018.14 : x
  2. Step 2: Convert to fraction form
    9,209.89/12,709.70 = 5,018.14/x
  3. Step 3: Cross multiply
    9,209.89x = 12,709.70 × 5,018.14
  4. Step 4: Simplify right side
    9,209.89x = 63,779,053.96
  5. Step 5: Solve for x
    x = 63,779,053.96/9,209.89
  6. Step 6: Final answer
    x = 6,925.06

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