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Finding the Fourth Proportional to 10,275.60, 15,420.60 and 4,436.40

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Solution

The fourth proportional to 10,275.60, 15,420.60 and 4,436.40 is: 6,657.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275.60 : 15,420.60 = 4,436.40 : x
  2. Step 2: Convert to fraction form
    10,275.60/15,420.60 = 4,436.40/x
  3. Step 3: Cross multiply
    10,275.60x = 15,420.60 × 4,436.40
  4. Step 4: Simplify right side
    10,275.60x = 68,411,949.84
  5. Step 5: Solve for x
    x = 68,411,949.84/10,275.60
  6. Step 6: Final answer
    x = 6,657.71

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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.