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Finding the Fourth Proportional to 7,848.48, 11,774.88 and 6,988.80

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Solution

The fourth proportional to 7,848.48, 11,774.88 and 6,988.80 is: 10,485.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.48 : 11,774.88 = 6,988.80 : x
  2. Step 2: Convert to fraction form
    7,848.48/11,774.88 = 6,988.80/x
  3. Step 3: Cross multiply
    7,848.48x = 11,774.88 × 6,988.80
  4. Step 4: Simplify right side
    7,848.48x = 82,292,281.34
  5. Step 5: Solve for x
    x = 82,292,281.34/7,848.48
  6. Step 6: Final answer
    x = 10,485.12

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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.