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Finding the Fourth Proportional to 9,127, 12,595.70 and 5,148.02

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Solution

The fourth proportional to 9,127, 12,595.70 and 5,148.02 is: 7,104.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,127 : 12,595.70 = 5,148.02 : x
  2. Step 2: Convert to fraction form
    9,127/12,595.70 = 5,148.02/x
  3. Step 3: Cross multiply
    9,127x = 12,595.70 × 5,148.02
  4. Step 4: Simplify right side
    9,127x = 64,842,915.51
  5. Step 5: Solve for x
    x = 64,842,915.51/9,127
  6. Step 6: Final answer
    x = 7,104.52

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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.