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Finding the Fourth Proportional to 10,690.98, 14,746.98 and 6,912.72

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Solution

The fourth proportional to 10,690.98, 14,746.98 and 6,912.72 is: 9,535.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.98 : 14,746.98 = 6,912.72 : x
  2. Step 2: Convert to fraction form
    10,690.98/14,746.98 = 6,912.72/x
  3. Step 3: Cross multiply
    10,690.98x = 14,746.98 × 6,912.72
  4. Step 4: Simplify right side
    10,690.98x = 101,941,743.59
  5. Step 5: Solve for x
    x = 101,941,743.59/10,690.98
  6. Step 6: Final answer
    x = 9,535.30

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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.