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Finding the Fourth Proportional to 10,476.64, 15,720.30 and 6,969.11

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Solution

The fourth proportional to 10,476.64, 15,720.30 and 6,969.11 is: 10,457.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.64 : 15,720.30 = 6,969.11 : x
  2. Step 2: Convert to fraction form
    10,476.64/15,720.30 = 6,969.11/x
  3. Step 3: Cross multiply
    10,476.64x = 15,720.30 × 6,969.11
  4. Step 4: Simplify right side
    10,476.64x = 109,556,539.23
  5. Step 5: Solve for x
    x = 109,556,539.23/10,476.64
  6. Step 6: Final answer
    x = 10,457.22

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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.