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Finding the Fourth Proportional to 21,357.40, 32,041.70 and 8,210.20

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Solution

The fourth proportional to 21,357.40, 32,041.70 and 8,210.20 is: 12,317.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,357.40 : 32,041.70 = 8,210.20 : x
  2. Step 2: Convert to fraction form
    21,357.40/32,041.70 = 8,210.20/x
  3. Step 3: Cross multiply
    21,357.40x = 32,041.70 × 8,210.20
  4. Step 4: Simplify right side
    21,357.40x = 263,068,765.34
  5. Step 5: Solve for x
    x = 263,068,765.34/21,357.40
  6. Step 6: Final answer
    x = 12,317.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.