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Finding the Fourth Proportional to 12,117.14, 16,720.16 and 7,077.70

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Solution

The fourth proportional to 12,117.14, 16,720.16 and 7,077.70 is: 9,766.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,117.14 : 16,720.16 = 7,077.70 : x
  2. Step 2: Convert to fraction form
    12,117.14/16,720.16 = 7,077.70/x
  3. Step 3: Cross multiply
    12,117.14x = 16,720.16 × 7,077.70
  4. Step 4: Simplify right side
    12,117.14x = 118,340,276.43
  5. Step 5: Solve for x
    x = 118,340,276.43/12,117.14
  6. Step 6: Final answer
    x = 9,766.35

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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.