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Finding the Fourth Proportional to 20,484.84, 30,713.08 and 10,465.16

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Solution

The fourth proportional to 20,484.84, 30,713.08 and 10,465.16 is: 15,690.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,484.84 : 30,713.08 = 10,465.16 : x
  2. Step 2: Convert to fraction form
    20,484.84/30,713.08 = 10,465.16/x
  3. Step 3: Cross multiply
    20,484.84x = 30,713.08 × 10,465.16
  4. Step 4: Simplify right side
    20,484.84x = 321,417,296.29
  5. Step 5: Solve for x
    x = 321,417,296.29/20,484.84
  6. Step 6: Final answer
    x = 15,690.50

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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.