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Finding the Fourth Proportional to 15,689.84, 21,653.13 and 9,722.67

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Solution

The fourth proportional to 15,689.84, 21,653.13 and 9,722.67 is: 13,418.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,689.84 : 21,653.13 = 9,722.67 : x
  2. Step 2: Convert to fraction form
    15,689.84/21,653.13 = 9,722.67/x
  3. Step 3: Cross multiply
    15,689.84x = 21,653.13 × 9,722.67
  4. Step 4: Simplify right side
    15,689.84x = 210,526,237.46
  5. Step 5: Solve for x
    x = 210,526,237.46/15,689.84
  6. Step 6: Final answer
    x = 13,418.00

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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.