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Finding the Fourth Proportional to 9,710, 13,399.80 and 5,294

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Solution

The fourth proportional to 9,710, 13,399.80 and 5,294 is: 7,305.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710 : 13,399.80 = 5,294 : x
  2. Step 2: Convert to fraction form
    9,710/13,399.80 = 5,294/x
  3. Step 3: Cross multiply
    9,710x = 13,399.80 × 5,294
  4. Step 4: Simplify right side
    9,710x = 70,938,541.20
  5. Step 5: Solve for x
    x = 70,938,541.20/9,710
  6. Step 6: Final answer
    x = 7,305.72

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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.