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Finding the Fourth Proportional to 30,852.64, 46,278.51 and 7,478.92

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Solution

The fourth proportional to 30,852.64, 46,278.51 and 7,478.92 is: 11,218.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,852.64 : 46,278.51 = 7,478.92 : x
  2. Step 2: Convert to fraction form
    30,852.64/46,278.51 = 7,478.92/x
  3. Step 3: Cross multiply
    30,852.64x = 46,278.51 × 7,478.92
  4. Step 4: Simplify right side
    30,852.64x = 346,113,274.01
  5. Step 5: Solve for x
    x = 346,113,274.01/30,852.64
  6. Step 6: Final answer
    x = 11,218.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.