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Finding the Fourth Proportional to 9,838.40, 13,588 and 7,627.04

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Solution

The fourth proportional to 9,838.40, 13,588 and 7,627.04 is: 10,533.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.40 : 13,588 = 7,627.04 : x
  2. Step 2: Convert to fraction form
    9,838.40/13,588 = 7,627.04/x
  3. Step 3: Cross multiply
    9,838.40x = 13,588 × 7,627.04
  4. Step 4: Simplify right side
    9,838.40x = 103,636,219.52
  5. Step 5: Solve for x
    x = 103,636,219.52/9,838.40
  6. Step 6: Final answer
    x = 10,533.85

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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.