Home / 8,414.16-11,614.17-5,430

Finding the Fourth Proportional to 8,414.16, 11,614.17 and 5,430

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Solution

The fourth proportional to 8,414.16, 11,614.17 and 5,430 is: 7,495.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.16 : 11,614.17 = 5,430 : x
  2. Step 2: Convert to fraction form
    8,414.16/11,614.17 = 5,430/x
  3. Step 3: Cross multiply
    8,414.16x = 11,614.17 × 5,430
  4. Step 4: Simplify right side
    8,414.16x = 63,064,943.10
  5. Step 5: Solve for x
    x = 63,064,943.10/8,414.16
  6. Step 6: Final answer
    x = 7,495.10

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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.