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Finding the Fourth Proportional to 13,078.08, 18,050.16 and 7,776

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Solution

The fourth proportional to 13,078.08, 18,050.16 and 7,776 is: 10,732.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.08 : 18,050.16 = 7,776 : x
  2. Step 2: Convert to fraction form
    13,078.08/18,050.16 = 7,776/x
  3. Step 3: Cross multiply
    13,078.08x = 18,050.16 × 7,776
  4. Step 4: Simplify right side
    13,078.08x = 140,358,044.16
  5. Step 5: Solve for x
    x = 140,358,044.16/13,078.08
  6. Step 6: Final answer
    x = 10,732.31

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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.