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Finding the Fourth Proportional to 5,290, 7,299.78 and 2,931.76

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Solution

The fourth proportional to 5,290, 7,299.78 and 2,931.76 is: 4,045.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290 : 7,299.78 = 2,931.76 : x
  2. Step 2: Convert to fraction form
    5,290/7,299.78 = 2,931.76/x
  3. Step 3: Cross multiply
    5,290x = 7,299.78 × 2,931.76
  4. Step 4: Simplify right side
    5,290x = 21,401,203.01
  5. Step 5: Solve for x
    x = 21,401,203.01/5,290
  6. Step 6: Final answer
    x = 4,045.60

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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.