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Finding the Fourth Proportional to 8,964, 12,368.30 and 5,426.46

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Solution

The fourth proportional to 8,964, 12,368.30 and 5,426.46 is: 7,487.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,964 : 12,368.30 = 5,426.46 : x
  2. Step 2: Convert to fraction form
    8,964/12,368.30 = 5,426.46/x
  3. Step 3: Cross multiply
    8,964x = 12,368.30 × 5,426.46
  4. Step 4: Simplify right side
    8,964x = 67,116,085.22
  5. Step 5: Solve for x
    x = 67,116,085.22/8,964
  6. Step 6: Final answer
    x = 7,487.29

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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.