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Finding the Fourth Proportional to 10,415.68, 14,373.72 and 6,435.88

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Solution

The fourth proportional to 10,415.68, 14,373.72 and 6,435.88 is: 8,881.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.68 : 14,373.72 = 6,435.88 : x
  2. Step 2: Convert to fraction form
    10,415.68/14,373.72 = 6,435.88/x
  3. Step 3: Cross multiply
    10,415.68x = 14,373.72 × 6,435.88
  4. Step 4: Simplify right side
    10,415.68x = 92,507,537.07
  5. Step 5: Solve for x
    x = 92,507,537.07/10,415.68
  6. Step 6: Final answer
    x = 8,881.56

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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.