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Finding the Fourth Proportional to 10,702.14, 14,735.97 and 9,105.90

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Solution

The fourth proportional to 10,702.14, 14,735.97 and 9,105.90 is: 12,538.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.14 : 14,735.97 = 9,105.90 : x
  2. Step 2: Convert to fraction form
    10,702.14/14,735.97 = 9,105.90/x
  3. Step 3: Cross multiply
    10,702.14x = 14,735.97 × 9,105.90
  4. Step 4: Simplify right side
    10,702.14x = 134,184,269.22
  5. Step 5: Solve for x
    x = 134,184,269.22/10,702.14
  6. Step 6: Final answer
    x = 12,538.08

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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.