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Finding the Fourth Proportional to 18,964, 28,448.70 and 10,077.01

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Solution

The fourth proportional to 18,964, 28,448.70 and 10,077.01 is: 15,116.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,964 : 28,448.70 = 10,077.01 : x
  2. Step 2: Convert to fraction form
    18,964/28,448.70 = 10,077.01/x
  3. Step 3: Cross multiply
    18,964x = 28,448.70 × 10,077.01
  4. Step 4: Simplify right side
    18,964x = 286,677,834.39
  5. Step 5: Solve for x
    x = 286,677,834.39/18,964
  6. Step 6: Final answer
    x = 15,116.95

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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.