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Finding the Fourth Proportional to 10,873.59, 15,011.78 and 7,158.39

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Solution

The fourth proportional to 10,873.59, 15,011.78 and 7,158.39 is: 9,882.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,873.59 : 15,011.78 = 7,158.39 : x
  2. Step 2: Convert to fraction form
    10,873.59/15,011.78 = 7,158.39/x
  3. Step 3: Cross multiply
    10,873.59x = 15,011.78 × 7,158.39
  4. Step 4: Simplify right side
    10,873.59x = 107,460,140.04
  5. Step 5: Solve for x
    x = 107,460,140.04/10,873.59
  6. Step 6: Final answer
    x = 9,882.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.