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Finding the Fourth Proportional to 12,547.08, 17,314.94 and 7,241.90

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Solution

The fourth proportional to 12,547.08, 17,314.94 and 7,241.90 is: 9,993.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,547.08 : 17,314.94 = 7,241.90 : x
  2. Step 2: Convert to fraction form
    12,547.08/17,314.94 = 7,241.90/x
  3. Step 3: Cross multiply
    12,547.08x = 17,314.94 × 7,241.90
  4. Step 4: Simplify right side
    12,547.08x = 125,392,941.20
  5. Step 5: Solve for x
    x = 125,392,941.20/12,547.08
  6. Step 6: Final answer
    x = 9,993.79

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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.