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Finding the Fourth Proportional to 10,078.03, 13,913.90 and 6,494.25

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Solution

The fourth proportional to 10,078.03, 13,913.90 and 6,494.25 is: 8,966.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.03 : 13,913.90 = 6,494.25 : x
  2. Step 2: Convert to fraction form
    10,078.03/13,913.90 = 6,494.25/x
  3. Step 3: Cross multiply
    10,078.03x = 13,913.90 × 6,494.25
  4. Step 4: Simplify right side
    10,078.03x = 90,360,345.08
  5. Step 5: Solve for x
    x = 90,360,345.08/10,078.03
  6. Step 6: Final answer
    x = 8,966.08

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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.