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Finding the Fourth Proportional to 10,009.20, 15,013.80 and 9,582.60

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Solution

The fourth proportional to 10,009.20, 15,013.80 and 9,582.60 is: 14,373.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009.20 : 15,013.80 = 9,582.60 : x
  2. Step 2: Convert to fraction form
    10,009.20/15,013.80 = 9,582.60/x
  3. Step 3: Cross multiply
    10,009.20x = 15,013.80 × 9,582.60
  4. Step 4: Simplify right side
    10,009.20x = 143,871,239.88
  5. Step 5: Solve for x
    x = 143,871,239.88/10,009.20
  6. Step 6: Final answer
    x = 14,373.90

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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.