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Finding the Fourth Proportional to 7,988.16, 11,009.28 and 7,071.60

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Solution

The fourth proportional to 7,988.16, 11,009.28 and 7,071.60 is: 9,746.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,988.16 : 11,009.28 = 7,071.60 : x
  2. Step 2: Convert to fraction form
    7,988.16/11,009.28 = 7,071.60/x
  3. Step 3: Cross multiply
    7,988.16x = 11,009.28 × 7,071.60
  4. Step 4: Simplify right side
    7,988.16x = 77,853,224.45
  5. Step 5: Solve for x
    x = 77,853,224.45/7,988.16
  6. Step 6: Final answer
    x = 9,746.08

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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.