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Finding the Fourth Proportional to 12,516, 18,779.76 and 4,724.16

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Solution

The fourth proportional to 12,516, 18,779.76 and 4,724.16 is: 7,088.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,516 : 18,779.76 = 4,724.16 : x
  2. Step 2: Convert to fraction form
    12,516/18,779.76 = 4,724.16/x
  3. Step 3: Cross multiply
    12,516x = 18,779.76 × 4,724.16
  4. Step 4: Simplify right side
    12,516x = 88,718,591.00
  5. Step 5: Solve for x
    x = 88,718,591.00/12,516
  6. Step 6: Final answer
    x = 7,088.41

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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.