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Finding the Fourth Proportional to 5,155, 7,732.80 and 1,457.52

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Solution

The fourth proportional to 5,155, 7,732.80 and 1,457.52 is: 2,186.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155 : 7,732.80 = 1,457.52 : x
  2. Step 2: Convert to fraction form
    5,155/7,732.80 = 1,457.52/x
  3. Step 3: Cross multiply
    5,155x = 7,732.80 × 1,457.52
  4. Step 4: Simplify right side
    5,155x = 11,270,710.66
  5. Step 5: Solve for x
    x = 11,270,710.66/5,155
  6. Step 6: Final answer
    x = 2,186.36

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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.