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Finding the Fourth Proportional to 9,978.08, 13,767.74 and 7,587.40

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Solution

The fourth proportional to 9,978.08, 13,767.74 and 7,587.40 is: 10,469.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,978.08 : 13,767.74 = 7,587.40 : x
  2. Step 2: Convert to fraction form
    9,978.08/13,767.74 = 7,587.40/x
  3. Step 3: Cross multiply
    9,978.08x = 13,767.74 × 7,587.40
  4. Step 4: Simplify right side
    9,978.08x = 104,461,350.48
  5. Step 5: Solve for x
    x = 104,461,350.48/9,978.08
  6. Step 6: Final answer
    x = 10,469.08

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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.