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Finding the Fourth Proportional to 5,709.76, 7,875.14 and 4,914.40

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Solution

The fourth proportional to 5,709.76, 7,875.14 and 4,914.40 is: 6,778.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.76 : 7,875.14 = 4,914.40 : x
  2. Step 2: Convert to fraction form
    5,709.76/7,875.14 = 4,914.40/x
  3. Step 3: Cross multiply
    5,709.76x = 7,875.14 × 4,914.40
  4. Step 4: Simplify right side
    5,709.76x = 38,701,588.02
  5. Step 5: Solve for x
    x = 38,701,588.02/5,709.76
  6. Step 6: Final answer
    x = 6,778.15

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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.