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Finding the Fourth Proportional to 9,281.64, 12,810.72 and 7,261.02

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Solution

The fourth proportional to 9,281.64, 12,810.72 and 7,261.02 is: 10,021.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.64 : 12,810.72 = 7,261.02 : x
  2. Step 2: Convert to fraction form
    9,281.64/12,810.72 = 7,261.02/x
  3. Step 3: Cross multiply
    9,281.64x = 12,810.72 × 7,261.02
  4. Step 4: Simplify right side
    9,281.64x = 93,018,894.13
  5. Step 5: Solve for x
    x = 93,018,894.13/9,281.64
  6. Step 6: Final answer
    x = 10,021.82

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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.