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Finding the Fourth Proportional to 7,309.10, 10,085.99 and 4,477.34

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Solution

The fourth proportional to 7,309.10, 10,085.99 and 4,477.34 is: 6,178.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.10 : 10,085.99 = 4,477.34 : x
  2. Step 2: Convert to fraction form
    7,309.10/10,085.99 = 4,477.34/x
  3. Step 3: Cross multiply
    7,309.10x = 10,085.99 × 4,477.34
  4. Step 4: Simplify right side
    7,309.10x = 45,158,409.29
  5. Step 5: Solve for x
    x = 45,158,409.29/7,309.10
  6. Step 6: Final answer
    x = 6,178.38

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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.