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Finding the Fourth Proportional to 1,500.76, 2,055.53 and 1,412.20

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Solution

The fourth proportional to 1,500.76, 2,055.53 and 1,412.20 is: 1,934.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.76 : 2,055.53 = 1,412.20 : x
  2. Step 2: Convert to fraction form
    1,500.76/2,055.53 = 1,412.20/x
  3. Step 3: Cross multiply
    1,500.76x = 2,055.53 × 1,412.20
  4. Step 4: Simplify right side
    1,500.76x = 2,902,819.47
  5. Step 5: Solve for x
    x = 2,902,819.47/1,500.76
  6. Step 6: Final answer
    x = 1,934.23

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.