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Finding the Fourth Proportional to 15,875.88, 21,904.32 and 9,161.04

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Solution

The fourth proportional to 15,875.88, 21,904.32 and 9,161.04 is: 12,639.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,875.88 : 21,904.32 = 9,161.04 : x
  2. Step 2: Convert to fraction form
    15,875.88/21,904.32 = 9,161.04/x
  3. Step 3: Cross multiply
    15,875.88x = 21,904.32 × 9,161.04
  4. Step 4: Simplify right side
    15,875.88x = 200,666,351.69
  5. Step 5: Solve for x
    x = 200,666,351.69/15,875.88
  6. Step 6: Final answer
    x = 12,639.70

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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.