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Finding the Fourth Proportional to 9,298.17, 13,971.41 and 8,690.75

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Solution

The fourth proportional to 9,298.17, 13,971.41 and 8,690.75 is: 13,058.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.17 : 13,971.41 = 8,690.75 : x
  2. Step 2: Convert to fraction form
    9,298.17/13,971.41 = 8,690.75/x
  3. Step 3: Cross multiply
    9,298.17x = 13,971.41 × 8,690.75
  4. Step 4: Simplify right side
    9,298.17x = 121,421,970.54
  5. Step 5: Solve for x
    x = 121,421,970.54/9,298.17
  6. Step 6: Final answer
    x = 13,058.70

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1.5x scale

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.