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Finding the Fourth Proportional to 9,807.84, 13,536.72 and 6,444.72

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Solution

The fourth proportional to 9,807.84, 13,536.72 and 6,444.72 is: 8,894.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.84 : 13,536.72 = 6,444.72 : x
  2. Step 2: Convert to fraction form
    9,807.84/13,536.72 = 6,444.72/x
  3. Step 3: Cross multiply
    9,807.84x = 13,536.72 × 6,444.72
  4. Step 4: Simplify right side
    9,807.84x = 87,240,370.12
  5. Step 5: Solve for x
    x = 87,240,370.12/9,807.84
  6. Step 6: Final answer
    x = 8,894.96

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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.