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Finding the Fourth Proportional to 15,735, 21,714.03 and 9,020.46

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Solution

The fourth proportional to 15,735, 21,714.03 and 9,020.46 is: 12,448.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,735 : 21,714.03 = 9,020.46 : x
  2. Step 2: Convert to fraction form
    15,735/21,714.03 = 9,020.46/x
  3. Step 3: Cross multiply
    15,735x = 21,714.03 × 9,020.46
  4. Step 4: Simplify right side
    15,735x = 195,870,539.05
  5. Step 5: Solve for x
    x = 195,870,539.05/15,735
  6. Step 6: Final answer
    x = 12,448.08

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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.