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Finding the Fourth Proportional to 7,312.05, 10,004.16 and 7,281.07

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Solution

The fourth proportional to 7,312.05, 10,004.16 and 7,281.07 is: 9,961.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,312.05 : 10,004.16 = 7,281.07 : x
  2. Step 2: Convert to fraction form
    7,312.05/10,004.16 = 7,281.07/x
  3. Step 3: Cross multiply
    7,312.05x = 10,004.16 × 7,281.07
  4. Step 4: Simplify right side
    7,312.05x = 72,840,989.25
  5. Step 5: Solve for x
    x = 72,840,989.25/7,312.05
  6. Step 6: Final answer
    x = 9,961.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.