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Finding the Fourth Proportional to 10,345.50, 15,518.52 and 3,420

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Solution

The fourth proportional to 10,345.50, 15,518.52 and 3,420 is: 5,130.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,345.50 : 15,518.52 = 3,420 : x
  2. Step 2: Convert to fraction form
    10,345.50/15,518.52 = 3,420/x
  3. Step 3: Cross multiply
    10,345.50x = 15,518.52 × 3,420
  4. Step 4: Simplify right side
    10,345.50x = 53,073,338.40
  5. Step 5: Solve for x
    x = 53,073,338.40/10,345.50
  6. Step 6: Final answer
    x = 5,130.09

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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.