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Finding the Fourth Proportional to 5,386.40, 8,076 and 4,347.68

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Solution

The fourth proportional to 5,386.40, 8,076 and 4,347.68 is: 6,518.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,386.40 : 8,076 = 4,347.68 : x
  2. Step 2: Convert to fraction form
    5,386.40/8,076 = 4,347.68/x
  3. Step 3: Cross multiply
    5,386.40x = 8,076 × 4,347.68
  4. Step 4: Simplify right side
    5,386.40x = 35,111,863.68
  5. Step 5: Solve for x
    x = 35,111,863.68/5,386.40
  6. Step 6: Final answer
    x = 6,518.61

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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.