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Finding the Fourth Proportional to 10,346.88, 15,530.03 and 5,420.05

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Solution

The fourth proportional to 10,346.88, 15,530.03 and 5,420.05 is: 8,135.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,346.88 : 15,530.03 = 5,420.05 : x
  2. Step 2: Convert to fraction form
    10,346.88/15,530.03 = 5,420.05/x
  3. Step 3: Cross multiply
    10,346.88x = 15,530.03 × 5,420.05
  4. Step 4: Simplify right side
    10,346.88x = 84,173,539.10
  5. Step 5: Solve for x
    x = 84,173,539.10/10,346.88
  6. Step 6: Final answer
    x = 8,135.16

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1.5x scale

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.