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Finding the Fourth Proportional to 10,690.21, 14,748.87 and 6,918.14

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Solution

The fourth proportional to 10,690.21, 14,748.87 and 6,918.14 is: 9,544.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.21 : 14,748.87 = 6,918.14 : x
  2. Step 2: Convert to fraction form
    10,690.21/14,748.87 = 6,918.14/x
  3. Step 3: Cross multiply
    10,690.21x = 14,748.87 × 6,918.14
  4. Step 4: Simplify right side
    10,690.21x = 102,034,810.32
  5. Step 5: Solve for x
    x = 102,034,810.32/10,690.21
  6. Step 6: Final answer
    x = 9,544.70

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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.