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Finding the Fourth Proportional to 15,297, 21,077.54 and 14,245.16

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Solution

The fourth proportional to 15,297, 21,077.54 and 14,245.16 is: 19,628.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,297 : 21,077.54 = 14,245.16 : x
  2. Step 2: Convert to fraction form
    15,297/21,077.54 = 14,245.16/x
  3. Step 3: Cross multiply
    15,297x = 21,077.54 × 14,245.16
  4. Step 4: Simplify right side
    15,297x = 300,252,929.71
  5. Step 5: Solve for x
    x = 300,252,929.71/15,297
  6. Step 6: Final answer
    x = 19,628.22

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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.