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Finding the Fourth Proportional to 10,486.64, 14,459.56 and 7,829.57

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Solution

The fourth proportional to 10,486.64, 14,459.56 and 7,829.57 is: 10,795.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.64 : 14,459.56 = 7,829.57 : x
  2. Step 2: Convert to fraction form
    10,486.64/14,459.56 = 7,829.57/x
  3. Step 3: Cross multiply
    10,486.64x = 14,459.56 × 7,829.57
  4. Step 4: Simplify right side
    10,486.64x = 113,212,045.32
  5. Step 5: Solve for x
    x = 113,212,045.32/10,486.64
  6. Step 6: Final answer
    x = 10,795.84

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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.