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Finding the Fourth Proportional to 9,734.04, 13,428.95 and 7,187.90

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Solution

The fourth proportional to 9,734.04, 13,428.95 and 7,187.90 is: 9,916.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,734.04 : 13,428.95 = 7,187.90 : x
  2. Step 2: Convert to fraction form
    9,734.04/13,428.95 = 7,187.90/x
  3. Step 3: Cross multiply
    9,734.04x = 13,428.95 × 7,187.90
  4. Step 4: Simplify right side
    9,734.04x = 96,525,846.62
  5. Step 5: Solve for x
    x = 96,525,846.62/9,734.04
  6. Step 6: Final answer
    x = 9,916.32

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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.