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Finding the Fourth Proportional to 21,410.40, 32,114.08 and 13,602.08

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Solution

The fourth proportional to 21,410.40, 32,114.08 and 13,602.08 is: 20,402.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,410.40 : 32,114.08 = 13,602.08 : x
  2. Step 2: Convert to fraction form
    21,410.40/32,114.08 = 13,602.08/x
  3. Step 3: Cross multiply
    21,410.40x = 32,114.08 × 13,602.08
  4. Step 4: Simplify right side
    21,410.40x = 436,818,285.29
  5. Step 5: Solve for x
    x = 436,818,285.29/21,410.40
  6. Step 6: Final answer
    x = 20,402.15

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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.