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Finding the Fourth Proportional to 10,443.12, 15,661.40 and 3,516

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Solution

The fourth proportional to 10,443.12, 15,661.40 and 3,516 is: 5,272.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,443.12 : 15,661.40 = 3,516 : x
  2. Step 2: Convert to fraction form
    10,443.12/15,661.40 = 3,516/x
  3. Step 3: Cross multiply
    10,443.12x = 15,661.40 × 3,516
  4. Step 4: Simplify right side
    10,443.12x = 55,065,482.40
  5. Step 5: Solve for x
    x = 55,065,482.40/10,443.12
  6. Step 6: Final answer
    x = 5,272.90

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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.