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Finding the Fourth Proportional to 10,582.40, 15,910.20 and 9,897.20

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Solution

The fourth proportional to 10,582.40, 15,910.20 and 9,897.20 is: 14,880.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.40 : 15,910.20 = 9,897.20 : x
  2. Step 2: Convert to fraction form
    10,582.40/15,910.20 = 9,897.20/x
  3. Step 3: Cross multiply
    10,582.40x = 15,910.20 × 9,897.20
  4. Step 4: Simplify right side
    10,582.40x = 157,466,431.44
  5. Step 5: Solve for x
    x = 157,466,431.44/10,582.40
  6. Step 6: Final answer
    x = 14,880.03

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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.