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Finding the Fourth Proportional to 8,594.64, 12,895.56 and 5,130

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Solution

The fourth proportional to 8,594.64, 12,895.56 and 5,130 is: 7,697.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,594.64 : 12,895.56 = 5,130 : x
  2. Step 2: Convert to fraction form
    8,594.64/12,895.56 = 5,130/x
  3. Step 3: Cross multiply
    8,594.64x = 12,895.56 × 5,130
  4. Step 4: Simplify right side
    8,594.64x = 66,154,222.80
  5. Step 5: Solve for x
    x = 66,154,222.80/8,594.64
  6. Step 6: Final answer
    x = 7,697.15

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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.