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Finding the Fourth Proportional to 9,980.68, 14,977.68 and 5,602

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Solution

The fourth proportional to 9,980.68, 14,977.68 and 5,602 is: 8,406.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.68 : 14,977.68 = 5,602 : x
  2. Step 2: Convert to fraction form
    9,980.68/14,977.68 = 5,602/x
  3. Step 3: Cross multiply
    9,980.68x = 14,977.68 × 5,602
  4. Step 4: Simplify right side
    9,980.68x = 83,904,963.36
  5. Step 5: Solve for x
    x = 83,904,963.36/9,980.68
  6. Step 6: Final answer
    x = 8,406.74

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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.