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Finding the Fourth Proportional to 8,969.16, 13,461.42 and 7,156.68

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Solution

The fourth proportional to 8,969.16, 13,461.42 and 7,156.68 is: 10,741.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,969.16 : 13,461.42 = 7,156.68 : x
  2. Step 2: Convert to fraction form
    8,969.16/13,461.42 = 7,156.68/x
  3. Step 3: Cross multiply
    8,969.16x = 13,461.42 × 7,156.68
  4. Step 4: Simplify right side
    8,969.16x = 96,339,075.29
  5. Step 5: Solve for x
    x = 96,339,075.29/8,969.16
  6. Step 6: Final answer
    x = 10,741.15

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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.