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Finding the Fourth Proportional to 5,747.76, 7,931.16 and 3,389.40

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Solution

The fourth proportional to 5,747.76, 7,931.16 and 3,389.40 is: 4,676.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.76 : 7,931.16 = 3,389.40 : x
  2. Step 2: Convert to fraction form
    5,747.76/7,931.16 = 3,389.40/x
  3. Step 3: Cross multiply
    5,747.76x = 7,931.16 × 3,389.40
  4. Step 4: Simplify right side
    5,747.76x = 26,881,873.70
  5. Step 5: Solve for x
    x = 26,881,873.70/5,747.76
  6. Step 6: Final answer
    x = 4,676.93

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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.