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Finding the Fourth Proportional to 9,787.03, 13,509.61 and 5,808.15

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Solution

The fourth proportional to 9,787.03, 13,509.61 and 5,808.15 is: 8,017.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787.03 : 13,509.61 = 5,808.15 : x
  2. Step 2: Convert to fraction form
    9,787.03/13,509.61 = 5,808.15/x
  3. Step 3: Cross multiply
    9,787.03x = 13,509.61 × 5,808.15
  4. Step 4: Simplify right side
    9,787.03x = 78,465,841.32
  5. Step 5: Solve for x
    x = 78,465,841.32/9,787.03
  6. Step 6: Final answer
    x = 8,017.33

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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.