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Finding the Fourth Proportional to 10,716, 14,788.08 and 6,990

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Solution

The fourth proportional to 10,716, 14,788.08 and 6,990 is: 9,646.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,716 : 14,788.08 = 6,990 : x
  2. Step 2: Convert to fraction form
    10,716/14,788.08 = 6,990/x
  3. Step 3: Cross multiply
    10,716x = 14,788.08 × 6,990
  4. Step 4: Simplify right side
    10,716x = 103,368,679.20
  5. Step 5: Solve for x
    x = 103,368,679.20/10,716
  6. Step 6: Final answer
    x = 9,646.20

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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.