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Finding the Fourth Proportional to 4,782, 7,135.80 and 4,345.68

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Solution

The fourth proportional to 4,782, 7,135.80 and 4,345.68 is: 6,484.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782 : 7,135.80 = 4,345.68 : x
  2. Step 2: Convert to fraction form
    4,782/7,135.80 = 4,345.68/x
  3. Step 3: Cross multiply
    4,782x = 7,135.80 × 4,345.68
  4. Step 4: Simplify right side
    4,782x = 31,009,903.34
  5. Step 5: Solve for x
    x = 31,009,903.34/4,782
  6. Step 6: Final answer
    x = 6,484.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.