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Finding the Fourth Proportional to 10,242.69, 15,353.08 and 7,312.11

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Solution

The fourth proportional to 10,242.69, 15,353.08 and 7,312.11 is: 10,960.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,242.69 : 15,353.08 = 7,312.11 : x
  2. Step 2: Convert to fraction form
    10,242.69/15,353.08 = 7,312.11/x
  3. Step 3: Cross multiply
    10,242.69x = 15,353.08 × 7,312.11
  4. Step 4: Simplify right side
    10,242.69x = 112,263,333.94
  5. Step 5: Solve for x
    x = 112,263,333.94/10,242.69
  6. Step 6: Final answer
    x = 10,960.34

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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.