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Finding the Fourth Proportional to 10,388.94, 15,588 and 5,457.40

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Solution

The fourth proportional to 10,388.94, 15,588 and 5,457.40 is: 8,188.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,388.94 : 15,588 = 5,457.40 : x
  2. Step 2: Convert to fraction form
    10,388.94/15,588 = 5,457.40/x
  3. Step 3: Cross multiply
    10,388.94x = 15,588 × 5,457.40
  4. Step 4: Simplify right side
    10,388.94x = 85,069,951.20
  5. Step 5: Solve for x
    x = 85,069,951.20/10,388.94
  6. Step 6: Final answer
    x = 8,188.51

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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.