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Finding the Fourth Proportional to 10,486.90, 15,730.71 and 3,560.50

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Solution

The fourth proportional to 10,486.90, 15,730.71 and 3,560.50 is: 5,340.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.90 : 15,730.71 = 3,560.50 : x
  2. Step 2: Convert to fraction form
    10,486.90/15,730.71 = 3,560.50/x
  3. Step 3: Cross multiply
    10,486.90x = 15,730.71 × 3,560.50
  4. Step 4: Simplify right side
    10,486.90x = 56,009,192.96
  5. Step 5: Solve for x
    x = 56,009,192.96/10,486.90
  6. Step 6: Final answer
    x = 5,340.87

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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.