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Finding the Fourth Proportional to 7,533.69, 11,300.71 and 1,987.60

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Solution

The fourth proportional to 7,533.69, 11,300.71 and 1,987.60 is: 2,981.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,533.69 : 11,300.71 = 1,987.60 : x
  2. Step 2: Convert to fraction form
    7,533.69/11,300.71 = 1,987.60/x
  3. Step 3: Cross multiply
    7,533.69x = 11,300.71 × 1,987.60
  4. Step 4: Simplify right side
    7,533.69x = 22,461,224.75
  5. Step 5: Solve for x
    x = 22,461,224.75/7,533.69
  6. Step 6: Final answer
    x = 2,981.44

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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.