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Finding the Fourth Proportional to 10,420.68, 15,633.42 and 3,495

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Solution

The fourth proportional to 10,420.68, 15,633.42 and 3,495 is: 5,243.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.68 : 15,633.42 = 3,495 : x
  2. Step 2: Convert to fraction form
    10,420.68/15,633.42 = 3,495/x
  3. Step 3: Cross multiply
    10,420.68x = 15,633.42 × 3,495
  4. Step 4: Simplify right side
    10,420.68x = 54,638,802.90
  5. Step 5: Solve for x
    x = 54,638,802.90/10,420.68
  6. Step 6: Final answer
    x = 5,243.30

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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.