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Finding the Fourth Proportional to 5,655.38, 7,804.40 and 3,416.81

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Solution

The fourth proportional to 5,655.38, 7,804.40 and 3,416.81 is: 4,715.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.38 : 7,804.40 = 3,416.81 : x
  2. Step 2: Convert to fraction form
    5,655.38/7,804.40 = 3,416.81/x
  3. Step 3: Cross multiply
    5,655.38x = 7,804.40 × 3,416.81
  4. Step 4: Simplify right side
    5,655.38x = 26,666,095.86
  5. Step 5: Solve for x
    x = 26,666,095.86/5,655.38
  6. Step 6: Final answer
    x = 4,715.18

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Why These Related Problems?

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