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Finding the Fourth Proportional to 10,412.80, 15,601.92 and 7,328.32

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Solution

The fourth proportional to 10,412.80, 15,601.92 and 7,328.32 is: 10,980.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,412.80 : 15,601.92 = 7,328.32 : x
  2. Step 2: Convert to fraction form
    10,412.80/15,601.92 = 7,328.32/x
  3. Step 3: Cross multiply
    10,412.80x = 15,601.92 × 7,328.32
  4. Step 4: Simplify right side
    10,412.80x = 114,335,862.37
  5. Step 5: Solve for x
    x = 114,335,862.37/10,412.80
  6. Step 6: Final answer
    x = 10,980.32

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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.