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Finding the Fourth Proportional to 5,689.48, 7,835.16 and 4,886.38

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Solution

The fourth proportional to 5,689.48, 7,835.16 and 4,886.38 is: 6,729.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.48 : 7,835.16 = 4,886.38 : x
  2. Step 2: Convert to fraction form
    5,689.48/7,835.16 = 4,886.38/x
  3. Step 3: Cross multiply
    5,689.48x = 7,835.16 × 4,886.38
  4. Step 4: Simplify right side
    5,689.48x = 38,285,569.12
  5. Step 5: Solve for x
    x = 38,285,569.12/5,689.48
  6. Step 6: Final answer
    x = 6,729.19

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Half scale
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Double scale
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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.