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Finding the Fourth Proportional to 7,464.50, 10,301.05 and 4,152.50

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Solution

The fourth proportional to 7,464.50, 10,301.05 and 4,152.50 is: 5,730.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,464.50 : 10,301.05 = 4,152.50 : x
  2. Step 2: Convert to fraction form
    7,464.50/10,301.05 = 4,152.50/x
  3. Step 3: Cross multiply
    7,464.50x = 10,301.05 × 4,152.50
  4. Step 4: Simplify right side
    7,464.50x = 42,775,110.13
  5. Step 5: Solve for x
    x = 42,775,110.13/7,464.50
  6. Step 6: Final answer
    x = 5,730.47

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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.