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Finding the Fourth Proportional to 9,913.80, 13,680.60 and 5,937.10

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Solution

The fourth proportional to 9,913.80, 13,680.60 and 5,937.10 is: 8,192.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.80 : 13,680.60 = 5,937.10 : x
  2. Step 2: Convert to fraction form
    9,913.80/13,680.60 = 5,937.10/x
  3. Step 3: Cross multiply
    9,913.80x = 13,680.60 × 5,937.10
  4. Step 4: Simplify right side
    9,913.80x = 81,223,090.26
  5. Step 5: Solve for x
    x = 81,223,090.26/9,913.80
  6. Step 6: Final answer
    x = 8,192.93

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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.