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Finding the Fourth Proportional to 9,166.79, 12,643.64 and 8,413

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Solution

The fourth proportional to 9,166.79, 12,643.64 and 8,413 is: 11,603.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.79 : 12,643.64 = 8,413 : x
  2. Step 2: Convert to fraction form
    9,166.79/12,643.64 = 8,413/x
  3. Step 3: Cross multiply
    9,166.79x = 12,643.64 × 8,413
  4. Step 4: Simplify right side
    9,166.79x = 106,370,943.32
  5. Step 5: Solve for x
    x = 106,370,943.32/9,166.79
  6. Step 6: Final answer
    x = 11,603.95

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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.