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Finding the Fourth Proportional to 11,458.96, 15,808.64 and 7,478.64

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Solution

The fourth proportional to 11,458.96, 15,808.64 and 7,478.64 is: 10,317.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,458.96 : 15,808.64 = 7,478.64 : x
  2. Step 2: Convert to fraction form
    11,458.96/15,808.64 = 7,478.64/x
  3. Step 3: Cross multiply
    11,458.96x = 15,808.64 × 7,478.64
  4. Step 4: Simplify right side
    11,458.96x = 118,227,127.45
  5. Step 5: Solve for x
    x = 118,227,127.45/11,458.96
  6. Step 6: Final answer
    x = 10,317.44

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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.