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Finding the Fourth Proportional to 10,964.66, 15,130.05 and 6,488.60

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Solution

The fourth proportional to 10,964.66, 15,130.05 and 6,488.60 is: 8,953.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,964.66 : 15,130.05 = 6,488.60 : x
  2. Step 2: Convert to fraction form
    10,964.66/15,130.05 = 6,488.60/x
  3. Step 3: Cross multiply
    10,964.66x = 15,130.05 × 6,488.60
  4. Step 4: Simplify right side
    10,964.66x = 98,172,842.43
  5. Step 5: Solve for x
    x = 98,172,842.43/10,964.66
  6. Step 6: Final answer
    x = 8,953.57

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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.