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Finding the Fourth Proportional to 1,762, 2,428.50 and 1,536.52

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Solution

The fourth proportional to 1,762, 2,428.50 and 1,536.52 is: 2,117.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762 : 2,428.50 = 1,536.52 : x
  2. Step 2: Convert to fraction form
    1,762/2,428.50 = 1,536.52/x
  3. Step 3: Cross multiply
    1,762x = 2,428.50 × 1,536.52
  4. Step 4: Simplify right side
    1,762x = 3,731,438.82
  5. Step 5: Solve for x
    x = 3,731,438.82/1,762
  6. Step 6: Final answer
    x = 2,117.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.