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Finding the Fourth Proportional to 10,913.53, 15,026.91 and 8,533.15

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Solution

The fourth proportional to 10,913.53, 15,026.91 and 8,533.15 is: 11,749.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,913.53 : 15,026.91 = 8,533.15 : x
  2. Step 2: Convert to fraction form
    10,913.53/15,026.91 = 8,533.15/x
  3. Step 3: Cross multiply
    10,913.53x = 15,026.91 × 8,533.15
  4. Step 4: Simplify right side
    10,913.53x = 128,226,877.07
  5. Step 5: Solve for x
    x = 128,226,877.07/10,913.53
  6. Step 6: Final answer
    x = 11,749.35

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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.