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Finding the Fourth Proportional to 14,641.76, 21,968.40 and 6,428

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Solution

The fourth proportional to 14,641.76, 21,968.40 and 6,428 is: 9,644.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,641.76 : 21,968.40 = 6,428 : x
  2. Step 2: Convert to fraction form
    14,641.76/21,968.40 = 6,428/x
  3. Step 3: Cross multiply
    14,641.76x = 21,968.40 × 6,428
  4. Step 4: Simplify right side
    14,641.76x = 141,212,875.20
  5. Step 5: Solve for x
    x = 141,212,875.20/14,641.76
  6. Step 6: Final answer
    x = 9,644.53

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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.