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Finding the Fourth Proportional to 19,303, 28,954.56 and 4,711

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Solution

The fourth proportional to 19,303, 28,954.56 and 4,711 is: 7,066.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,303 : 28,954.56 = 4,711 : x
  2. Step 2: Convert to fraction form
    19,303/28,954.56 = 4,711/x
  3. Step 3: Cross multiply
    19,303x = 28,954.56 × 4,711
  4. Step 4: Simplify right side
    19,303x = 136,404,932.16
  5. Step 5: Solve for x
    x = 136,404,932.16/19,303
  6. Step 6: Final answer
    x = 7,066.51

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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.