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Finding the Fourth Proportional to 9,345.72, 12,897 and 5,368.08

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Solution

The fourth proportional to 9,345.72, 12,897 and 5,368.08 is: 7,407.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,345.72 : 12,897 = 5,368.08 : x
  2. Step 2: Convert to fraction form
    9,345.72/12,897 = 5,368.08/x
  3. Step 3: Cross multiply
    9,345.72x = 12,897 × 5,368.08
  4. Step 4: Simplify right side
    9,345.72x = 69,232,127.76
  5. Step 5: Solve for x
    x = 69,232,127.76/9,345.72
  6. Step 6: Final answer
    x = 7,407.90

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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.