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Finding the Fourth Proportional to 9,117.99, 13,702.64 and 5,420.88

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Solution

The fourth proportional to 9,117.99, 13,702.64 and 5,420.88 is: 8,146.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.99 : 13,702.64 = 5,420.88 : x
  2. Step 2: Convert to fraction form
    9,117.99/13,702.64 = 5,420.88/x
  3. Step 3: Cross multiply
    9,117.99x = 13,702.64 × 5,420.88
  4. Step 4: Simplify right side
    9,117.99x = 74,280,340.02
  5. Step 5: Solve for x
    x = 74,280,340.02/9,117.99
  6. Step 6: Final answer
    x = 8,146.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.