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Finding the Fourth Proportional to 15,507.67, 21,400.67 and 8,434.10

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Solution

The fourth proportional to 15,507.67, 21,400.67 and 8,434.10 is: 11,639.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,507.67 : 21,400.67 = 8,434.10 : x
  2. Step 2: Convert to fraction form
    15,507.67/21,400.67 = 8,434.10/x
  3. Step 3: Cross multiply
    15,507.67x = 21,400.67 × 8,434.10
  4. Step 4: Simplify right side
    15,507.67x = 180,495,390.85
  5. Step 5: Solve for x
    x = 180,495,390.85/15,507.67
  6. Step 6: Final answer
    x = 11,639.10

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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.