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Finding the Fourth Proportional to 10,875.60, 16,315.20 and 4,638.60

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Solution

The fourth proportional to 10,875.60, 16,315.20 and 4,638.60 is: 6,958.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,875.60 : 16,315.20 = 4,638.60 : x
  2. Step 2: Convert to fraction form
    10,875.60/16,315.20 = 4,638.60/x
  3. Step 3: Cross multiply
    10,875.60x = 16,315.20 × 4,638.60
  4. Step 4: Simplify right side
    10,875.60x = 75,679,686.72
  5. Step 5: Solve for x
    x = 75,679,686.72/10,875.60
  6. Step 6: Final answer
    x = 6,958.67

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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.