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Finding the Fourth Proportional to 8,280.42, 12,417 and 5,155.74

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Solution

The fourth proportional to 8,280.42, 12,417 and 5,155.74 is: 7,731.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,280.42 : 12,417 = 5,155.74 : x
  2. Step 2: Convert to fraction form
    8,280.42/12,417 = 5,155.74/x
  3. Step 3: Cross multiply
    8,280.42x = 12,417 × 5,155.74
  4. Step 4: Simplify right side
    8,280.42x = 64,018,823.58
  5. Step 5: Solve for x
    x = 64,018,823.58/8,280.42
  6. Step 6: Final answer
    x = 7,731.35

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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.