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Finding the Fourth Proportional to 7,477.50, 10,318.95 and 4,165.50

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Solution

The fourth proportional to 7,477.50, 10,318.95 and 4,165.50 is: 5,748.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.50 : 10,318.95 = 4,165.50 : x
  2. Step 2: Convert to fraction form
    7,477.50/10,318.95 = 4,165.50/x
  3. Step 3: Cross multiply
    7,477.50x = 10,318.95 × 4,165.50
  4. Step 4: Simplify right side
    7,477.50x = 42,983,586.23
  5. Step 5: Solve for x
    x = 42,983,586.23/7,477.50
  6. Step 6: Final answer
    x = 5,748.39

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Double scale
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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.