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Finding the Fourth Proportional to 10,697.60, 14,757.71 and 6,921.98

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Solution

The fourth proportional to 10,697.60, 14,757.71 and 6,921.98 is: 9,549.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.60 : 14,757.71 = 6,921.98 : x
  2. Step 2: Convert to fraction form
    10,697.60/14,757.71 = 6,921.98/x
  3. Step 3: Cross multiply
    10,697.60x = 14,757.71 × 6,921.98
  4. Step 4: Simplify right side
    10,697.60x = 102,152,661.18
  5. Step 5: Solve for x
    x = 102,152,661.18/10,697.60
  6. Step 6: Final answer
    x = 9,549.12

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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.