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Finding the Fourth Proportional to 3,078.76, 4,248.68 and 1,681.50

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Solution

The fourth proportional to 3,078.76, 4,248.68 and 1,681.50 is: 2,320.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.76 : 4,248.68 = 1,681.50 : x
  2. Step 2: Convert to fraction form
    3,078.76/4,248.68 = 1,681.50/x
  3. Step 3: Cross multiply
    3,078.76x = 4,248.68 × 1,681.50
  4. Step 4: Simplify right side
    3,078.76x = 7,144,155.42
  5. Step 5: Solve for x
    x = 7,144,155.42/3,078.76
  6. Step 6: Final answer
    x = 2,320.47

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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.