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Finding the Fourth Proportional to 5,688.64, 7,830.96 and 4,932.16

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Solution

The fourth proportional to 5,688.64, 7,830.96 and 4,932.16 is: 6,789.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,688.64 : 7,830.96 = 4,932.16 : x
  2. Step 2: Convert to fraction form
    5,688.64/7,830.96 = 4,932.16/x
  3. Step 3: Cross multiply
    5,688.64x = 7,830.96 × 4,932.16
  4. Step 4: Simplify right side
    5,688.64x = 38,623,547.67
  5. Step 5: Solve for x
    x = 38,623,547.67/5,688.64
  6. Step 6: Final answer
    x = 6,789.59

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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.