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Finding the Fourth Proportional to 11,428, 15,770.64 and 6,460.96

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Solution

The fourth proportional to 11,428, 15,770.64 and 6,460.96 is: 8,916.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,428 : 15,770.64 = 6,460.96 : x
  2. Step 2: Convert to fraction form
    11,428/15,770.64 = 6,460.96/x
  3. Step 3: Cross multiply
    11,428x = 15,770.64 × 6,460.96
  4. Step 4: Simplify right side
    11,428x = 101,893,474.21
  5. Step 5: Solve for x
    x = 101,893,474.21/11,428
  6. Step 6: Final answer
    x = 8,916.12

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1.5x scale

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.