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Finding the Fourth Proportional to 9,133, 12,603.75 and 5,153.35

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Solution

The fourth proportional to 9,133, 12,603.75 and 5,153.35 is: 7,111.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,133 : 12,603.75 = 5,153.35 : x
  2. Step 2: Convert to fraction form
    9,133/12,603.75 = 5,153.35/x
  3. Step 3: Cross multiply
    9,133x = 12,603.75 × 5,153.35
  4. Step 4: Simplify right side
    9,133x = 64,951,535.06
  5. Step 5: Solve for x
    x = 64,951,535.06/9,133
  6. Step 6: Final answer
    x = 7,111.74

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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.