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Finding the Fourth Proportional to 3,065.51, 4,597.50 and 1,420.47

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Solution

The fourth proportional to 3,065.51, 4,597.50 and 1,420.47 is: 2,130.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.51 : 4,597.50 = 1,420.47 : x
  2. Step 2: Convert to fraction form
    3,065.51/4,597.50 = 1,420.47/x
  3. Step 3: Cross multiply
    3,065.51x = 4,597.50 × 1,420.47
  4. Step 4: Simplify right side
    3,065.51x = 6,530,610.83
  5. Step 5: Solve for x
    x = 6,530,610.83/3,065.51
  6. Step 6: Final answer
    x = 2,130.35

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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.