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Finding the Fourth Proportional to 9,895.57, 13,639.59 and 7,020.47

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Solution

The fourth proportional to 9,895.57, 13,639.59 and 7,020.47 is: 9,676.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,895.57 : 13,639.59 = 7,020.47 : x
  2. Step 2: Convert to fraction form
    9,895.57/13,639.59 = 7,020.47/x
  3. Step 3: Cross multiply
    9,895.57x = 13,639.59 × 7,020.47
  4. Step 4: Simplify right side
    9,895.57x = 95,756,366.51
  5. Step 5: Solve for x
    x = 95,756,366.51/9,895.57
  6. Step 6: Final answer
    x = 9,676.69

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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.