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Finding the Fourth Proportional to 15,927.68, 21,980.48 and 9,640.32

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Solution

The fourth proportional to 15,927.68, 21,980.48 and 9,640.32 is: 13,303.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,927.68 : 21,980.48 = 9,640.32 : x
  2. Step 2: Convert to fraction form
    15,927.68/21,980.48 = 9,640.32/x
  3. Step 3: Cross multiply
    15,927.68x = 21,980.48 × 9,640.32
  4. Step 4: Simplify right side
    15,927.68x = 211,898,860.95
  5. Step 5: Solve for x
    x = 211,898,860.95/15,927.68
  6. Step 6: Final answer
    x = 13,303.81

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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.