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Finding the Fourth Proportional to 10,720.25, 14,793.74 and 6,748.11

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Solution

The fourth proportional to 10,720.25, 14,793.74 and 6,748.11 is: 9,312.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,720.25 : 14,793.74 = 6,748.11 : x
  2. Step 2: Convert to fraction form
    10,720.25/14,793.74 = 6,748.11/x
  3. Step 3: Cross multiply
    10,720.25x = 14,793.74 × 6,748.11
  4. Step 4: Simplify right side
    10,720.25x = 99,829,776.40
  5. Step 5: Solve for x
    x = 99,829,776.40/10,720.25
  6. Step 6: Final answer
    x = 9,312.26

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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.