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Finding the Fourth Proportional to 15,822.60, 21,835.64 and 8,749.46

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Solution

The fourth proportional to 15,822.60, 21,835.64 and 8,749.46 is: 12,074.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,822.60 : 21,835.64 = 8,749.46 : x
  2. Step 2: Convert to fraction form
    15,822.60/21,835.64 = 8,749.46/x
  3. Step 3: Cross multiply
    15,822.60x = 21,835.64 × 8,749.46
  4. Step 4: Simplify right side
    15,822.60x = 191,050,058.75
  5. Step 5: Solve for x
    x = 191,050,058.75/15,822.60
  6. Step 6: Final answer
    x = 12,074.50

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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.