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Finding the Fourth Proportional to 15,685.99, 21,646.74 and 8,971.90

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Solution

The fourth proportional to 15,685.99, 21,646.74 and 8,971.90 is: 12,381.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,685.99 : 21,646.74 = 8,971.90 : x
  2. Step 2: Convert to fraction form
    15,685.99/21,646.74 = 8,971.90/x
  3. Step 3: Cross multiply
    15,685.99x = 21,646.74 × 8,971.90
  4. Step 4: Simplify right side
    15,685.99x = 194,212,386.61
  5. Step 5: Solve for x
    x = 194,212,386.61/15,685.99
  6. Step 6: Final answer
    x = 12,381.26

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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.