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Finding the Fourth Proportional to 8,646.42, 11,918.10 and 7,509.18

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Solution

The fourth proportional to 8,646.42, 11,918.10 and 7,509.18 is: 10,350.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.42 : 11,918.10 = 7,509.18 : x
  2. Step 2: Convert to fraction form
    8,646.42/11,918.10 = 7,509.18/x
  3. Step 3: Cross multiply
    8,646.42x = 11,918.10 × 7,509.18
  4. Step 4: Simplify right side
    8,646.42x = 89,495,158.16
  5. Step 5: Solve for x
    x = 89,495,158.16/8,646.42
  6. Step 6: Final answer
    x = 10,350.54

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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.