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Finding the Fourth Proportional to 5,368.47, 7,407.77 and 2,978.41

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Solution

The fourth proportional to 5,368.47, 7,407.77 and 2,978.41 is: 4,109.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,368.47 : 7,407.77 = 2,978.41 : x
  2. Step 2: Convert to fraction form
    5,368.47/7,407.77 = 2,978.41/x
  3. Step 3: Cross multiply
    5,368.47x = 7,407.77 × 2,978.41
  4. Step 4: Simplify right side
    5,368.47x = 22,063,376.25
  5. Step 5: Solve for x
    x = 22,063,376.25/5,368.47
  6. Step 6: Final answer
    x = 4,109.81

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1.5x scale

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.