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Finding the Fourth Proportional to 10,965.16, 15,130.74 and 6,489.10

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Solution

The fourth proportional to 10,965.16, 15,130.74 and 6,489.10 is: 8,954.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,965.16 : 15,130.74 = 6,489.10 : x
  2. Step 2: Convert to fraction form
    10,965.16/15,130.74 = 6,489.10/x
  3. Step 3: Cross multiply
    10,965.16x = 15,130.74 × 6,489.10
  4. Step 4: Simplify right side
    10,965.16x = 98,184,884.93
  5. Step 5: Solve for x
    x = 98,184,884.93/10,965.16
  6. Step 6: Final answer
    x = 8,954.26

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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.