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Finding the Fourth Proportional to 11,564.64, 15,959.28 and 6,259.50

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Solution

The fourth proportional to 11,564.64, 15,959.28 and 6,259.50 is: 8,638.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.64 : 15,959.28 = 6,259.50 : x
  2. Step 2: Convert to fraction form
    11,564.64/15,959.28 = 6,259.50/x
  3. Step 3: Cross multiply
    11,564.64x = 15,959.28 × 6,259.50
  4. Step 4: Simplify right side
    11,564.64x = 99,897,113.16
  5. Step 5: Solve for x
    x = 99,897,113.16/11,564.64
  6. Step 6: Final answer
    x = 8,638.15

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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.