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Finding the Fourth Proportional to 6,681.44, 10,009.20 and 6,130.64

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Solution

The fourth proportional to 6,681.44, 10,009.20 and 6,130.64 is: 9,184.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.44 : 10,009.20 = 6,130.64 : x
  2. Step 2: Convert to fraction form
    6,681.44/10,009.20 = 6,130.64/x
  3. Step 3: Cross multiply
    6,681.44x = 10,009.20 × 6,130.64
  4. Step 4: Simplify right side
    6,681.44x = 61,362,801.89
  5. Step 5: Solve for x
    x = 61,362,801.89/6,681.44
  6. Step 6: Final answer
    x = 9,184.07

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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.