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Finding the Fourth Proportional to 15,705, 21,673.76 and 8,989.07

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Solution

The fourth proportional to 15,705, 21,673.76 and 8,989.07 is: 12,405.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,705 : 21,673.76 = 8,989.07 : x
  2. Step 2: Convert to fraction form
    15,705/21,673.76 = 8,989.07/x
  3. Step 3: Cross multiply
    15,705x = 21,673.76 × 8,989.07
  4. Step 4: Simplify right side
    15,705x = 194,826,792.49
  5. Step 5: Solve for x
    x = 194,826,792.49/15,705
  6. Step 6: Final answer
    x = 12,405.40

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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.