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Finding the Fourth Proportional to 9,136, 12,606.72 and 5,598.40

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Solution

The fourth proportional to 9,136, 12,606.72 and 5,598.40 is: 7,725.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136 : 12,606.72 = 5,598.40 : x
  2. Step 2: Convert to fraction form
    9,136/12,606.72 = 5,598.40/x
  3. Step 3: Cross multiply
    9,136x = 12,606.72 × 5,598.40
  4. Step 4: Simplify right side
    9,136x = 70,577,461.25
  5. Step 5: Solve for x
    x = 70,577,461.25/9,136
  6. Step 6: Final answer
    x = 7,725.20

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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.