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Finding the Fourth Proportional to 8,530.95, 11,762.10 and 7,116.69

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Solution

The fourth proportional to 8,530.95, 11,762.10 and 7,116.69 is: 9,812.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.95 : 11,762.10 = 7,116.69 : x
  2. Step 2: Convert to fraction form
    8,530.95/11,762.10 = 7,116.69/x
  3. Step 3: Cross multiply
    8,530.95x = 11,762.10 × 7,116.69
  4. Step 4: Simplify right side
    8,530.95x = 83,707,219.45
  5. Step 5: Solve for x
    x = 83,707,219.45/8,530.95
  6. Step 6: Final answer
    x = 9,812.18

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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.