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Finding the Fourth Proportional to 10,689.60, 16,041.60 and 6,302.40

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Solution

The fourth proportional to 10,689.60, 16,041.60 and 6,302.40 is: 9,457.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.60 : 16,041.60 = 6,302.40 : x
  2. Step 2: Convert to fraction form
    10,689.60/16,041.60 = 6,302.40/x
  3. Step 3: Cross multiply
    10,689.60x = 16,041.60 × 6,302.40
  4. Step 4: Simplify right side
    10,689.60x = 101,100,579.84
  5. Step 5: Solve for x
    x = 101,100,579.84/10,689.60
  6. Step 6: Final answer
    x = 9,457.84

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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.