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Finding the Fourth Proportional to 14,064, 21,102.08 and 7,488.32

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Solution

The fourth proportional to 14,064, 21,102.08 and 7,488.32 is: 11,235.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,064 : 21,102.08 = 7,488.32 : x
  2. Step 2: Convert to fraction form
    14,064/21,102.08 = 7,488.32/x
  3. Step 3: Cross multiply
    14,064x = 21,102.08 × 7,488.32
  4. Step 4: Simplify right side
    14,064x = 158,019,127.71
  5. Step 5: Solve for x
    x = 158,019,127.71/14,064
  6. Step 6: Final answer
    x = 11,235.72

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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.