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Finding the Fourth Proportional to 15,771.60, 21,697.74 and 15,334.20

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Solution

The fourth proportional to 15,771.60, 21,697.74 and 15,334.20 is: 21,095.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,771.60 : 21,697.74 = 15,334.20 : x
  2. Step 2: Convert to fraction form
    15,771.60/21,697.74 = 15,334.20/x
  3. Step 3: Cross multiply
    15,771.60x = 21,697.74 × 15,334.20
  4. Step 4: Simplify right side
    15,771.60x = 332,717,484.71
  5. Step 5: Solve for x
    x = 332,717,484.71/15,771.60
  6. Step 6: Final answer
    x = 21,095.99

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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.