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Finding the Fourth Proportional to 10,669.68, 14,724 and 6,420.72

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Solution

The fourth proportional to 10,669.68, 14,724 and 6,420.72 is: 8,860.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,669.68 : 14,724 = 6,420.72 : x
  2. Step 2: Convert to fraction form
    10,669.68/14,724 = 6,420.72/x
  3. Step 3: Cross multiply
    10,669.68x = 14,724 × 6,420.72
  4. Step 4: Simplify right side
    10,669.68x = 94,538,681.28
  5. Step 5: Solve for x
    x = 94,538,681.28/10,669.68
  6. Step 6: Final answer
    x = 8,860.50

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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.