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Finding the Fourth Proportional to 9,117.84, 13,664.84 and 4,671.74

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Solution

The fourth proportional to 9,117.84, 13,664.84 and 4,671.74 is: 7,001.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.84 : 13,664.84 = 4,671.74 : x
  2. Step 2: Convert to fraction form
    9,117.84/13,664.84 = 4,671.74/x
  3. Step 3: Cross multiply
    9,117.84x = 13,664.84 × 4,671.74
  4. Step 4: Simplify right side
    9,117.84x = 63,838,541.95
  5. Step 5: Solve for x
    x = 63,838,541.95/9,117.84
  6. Step 6: Final answer
    x = 7,001.50

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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.