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Finding the Fourth Proportional to 6,916.40, 10,358.40 and 4,713.20

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Solution

The fourth proportional to 6,916.40, 10,358.40 and 4,713.20 is: 7,058.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,916.40 : 10,358.40 = 4,713.20 : x
  2. Step 2: Convert to fraction form
    6,916.40/10,358.40 = 4,713.20/x
  3. Step 3: Cross multiply
    6,916.40x = 10,358.40 × 4,713.20
  4. Step 4: Simplify right side
    6,916.40x = 48,821,210.88
  5. Step 5: Solve for x
    x = 48,821,210.88/6,916.40
  6. Step 6: Final answer
    x = 7,058.76

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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.