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Finding the Fourth Proportional to 3,430.62, 4,734.30 and 1,858.76

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Solution

The fourth proportional to 3,430.62, 4,734.30 and 1,858.76 is: 2,565.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.62 : 4,734.30 = 1,858.76 : x
  2. Step 2: Convert to fraction form
    3,430.62/4,734.30 = 1,858.76/x
  3. Step 3: Cross multiply
    3,430.62x = 4,734.30 × 1,858.76
  4. Step 4: Simplify right side
    3,430.62x = 8,799,927.47
  5. Step 5: Solve for x
    x = 8,799,927.47/3,430.62
  6. Step 6: Final answer
    x = 2,565.11

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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.