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Finding the Fourth Proportional to 6,415, 9,624.12 and 1,798

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Solution

The fourth proportional to 6,415, 9,624.12 and 1,798 is: 2,697.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415 : 9,624.12 = 1,798 : x
  2. Step 2: Convert to fraction form
    6,415/9,624.12 = 1,798/x
  3. Step 3: Cross multiply
    6,415x = 9,624.12 × 1,798
  4. Step 4: Simplify right side
    6,415x = 17,304,167.76
  5. Step 5: Solve for x
    x = 17,304,167.76/6,415
  6. Step 6: Final answer
    x = 2,697.45

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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.