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Finding the Fourth Proportional to 9,312.37, 13,935.74 and 6,487.49

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Solution

The fourth proportional to 9,312.37, 13,935.74 and 6,487.49 is: 9,708.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312.37 : 13,935.74 = 6,487.49 : x
  2. Step 2: Convert to fraction form
    9,312.37/13,935.74 = 6,487.49/x
  3. Step 3: Cross multiply
    9,312.37x = 13,935.74 × 6,487.49
  4. Step 4: Simplify right side
    9,312.37x = 90,407,973.89
  5. Step 5: Solve for x
    x = 90,407,973.89/9,312.37
  6. Step 6: Final answer
    x = 9,708.37

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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.