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Finding the Fourth Proportional to 15,476.09, 21,362.09 and 9,102.40

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Solution

The fourth proportional to 15,476.09, 21,362.09 and 9,102.40 is: 12,564.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,476.09 : 21,362.09 = 9,102.40 : x
  2. Step 2: Convert to fraction form
    15,476.09/21,362.09 = 9,102.40/x
  3. Step 3: Cross multiply
    15,476.09x = 21,362.09 × 9,102.40
  4. Step 4: Simplify right side
    15,476.09x = 194,446,242.50
  5. Step 5: Solve for x
    x = 194,446,242.50/15,476.09
  6. Step 6: Final answer
    x = 12,564.30

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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.