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Finding the Fourth Proportional to 7,830.78, 11,746.22 and 1,987.40

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Solution

The fourth proportional to 7,830.78, 11,746.22 and 1,987.40 is: 2,981.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.78 : 11,746.22 = 1,987.40 : x
  2. Step 2: Convert to fraction form
    7,830.78/11,746.22 = 1,987.40/x
  3. Step 3: Cross multiply
    7,830.78x = 11,746.22 × 1,987.40
  4. Step 4: Simplify right side
    7,830.78x = 23,344,368.96
  5. Step 5: Solve for x
    x = 23,344,368.96/7,830.78
  6. Step 6: Final answer
    x = 2,981.10

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.