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Finding the Fourth Proportional to 15,507.66, 21,400.74 and 8,434.08

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Solution

The fourth proportional to 15,507.66, 21,400.74 and 8,434.08 is: 11,639.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,507.66 : 21,400.74 = 8,434.08 : x
  2. Step 2: Convert to fraction form
    15,507.66/21,400.74 = 8,434.08/x
  3. Step 3: Cross multiply
    15,507.66x = 21,400.74 × 8,434.08
  4. Step 4: Simplify right side
    15,507.66x = 180,495,553.22
  5. Step 5: Solve for x
    x = 180,495,553.22/15,507.66
  6. Step 6: Final answer
    x = 11,639.12

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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.