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Finding the Fourth Proportional to 15,586.55, 21,509.10 and 8,513

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Solution

The fourth proportional to 15,586.55, 21,509.10 and 8,513 is: 11,747.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,586.55 : 21,509.10 = 8,513 : x
  2. Step 2: Convert to fraction form
    15,586.55/21,509.10 = 8,513/x
  3. Step 3: Cross multiply
    15,586.55x = 21,509.10 × 8,513
  4. Step 4: Simplify right side
    15,586.55x = 183,106,968.30
  5. Step 5: Solve for x
    x = 183,106,968.30/15,586.55
  6. Step 6: Final answer
    x = 11,747.75

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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.