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Finding the Fourth Proportional to 10,038.57, 15,056.57 and 2,643.60

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Solution

The fourth proportional to 10,038.57, 15,056.57 and 2,643.60 is: 3,965.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.57 : 15,056.57 = 2,643.60 : x
  2. Step 2: Convert to fraction form
    10,038.57/15,056.57 = 2,643.60/x
  3. Step 3: Cross multiply
    10,038.57x = 15,056.57 × 2,643.60
  4. Step 4: Simplify right side
    10,038.57x = 39,803,526.83
  5. Step 5: Solve for x
    x = 39,803,526.83/10,038.57
  6. Step 6: Final answer
    x = 3,965.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.